{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Looking in indexes: https://pypi.tuna.tsinghua.edu.cn/simple\n",
      "Requirement already satisfied: scikit-learn in c:\\users\\chlour\\appdata\\roaming\\python\\python311\\site-packages (1.6.1)\n",
      "Requirement already satisfied: numpy>=1.19.5 in e:\\app\\anaconda3\\envs\\xai\\lib\\site-packages (from scikit-learn) (2.1.2)\n",
      "Requirement already satisfied: scipy>=1.6.0 in c:\\users\\chlour\\appdata\\roaming\\python\\python311\\site-packages (from scikit-learn) (1.15.2)\n",
      "Requirement already satisfied: joblib>=1.2.0 in c:\\users\\chlour\\appdata\\roaming\\python\\python311\\site-packages (from scikit-learn) (1.4.2)\n",
      "Requirement already satisfied: threadpoolctl>=3.1.0 in c:\\users\\chlour\\appdata\\roaming\\python\\python311\\site-packages (from scikit-learn) (3.6.0)\n"
     ]
    }
   ],
   "source": [
    "!pip install scikit-learn"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 支持向量机"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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BOisrK52VlZVOpVLplEqlbtasWfo22dnZOlNTU92yZcv0xwoLC3UeHh66uXPn6nQ6nW7JkiU6Ozu7Eudev3697p+394CAAN3kyZNLtOnUqZOuTZs2Zcan1Wp1NjY2urCwMP0xQPfWW2+VaHf79m2diYmJ7tixY/r4nJ2ddSEhIaWe998/q/9Umft3tf7pXr9+/RITku59TZkypdT2ISEh97VVq9XVGaJR8vT0xNHRUf84IiKCNWvWcPLkySodIxYEQZCLTqfTD32cPXuW7OxsnJycsLa21n/duHGDa9euAcVDFb179zbo3KNGjSIvL48GDRrw0ksvsX79+jI/O6OiovDy8sLLy0t/rHnz5tjb2xMVFaU/Vr9+fWxsbPSP3d3duXPnToWxHDx4kDNnznDmzBl+++03vvrqK3766SeguDenqKiIrl276tubmprSsWPHEteuSFRUVIneHICAgIASj5OSknjppZdo3LgxdnZ22Nrakp2dTWxsbIl2/v7+JR57eHgwcOBAFi9eDBQP3RUUFDBq1CiD43sQ1Vrn5cSJEyXmZZw/f56+ffuW+6ZsbW25fPmy/vG/x+2EknQ6Henp6UiSxKlTp4iOjqZr167Uq1dP7tAEQZCJpaUl2dnZsl27KkRFReHj4wNAdnY27u7u7Nu377529+Z7WFhYGHxuLy8vLl++zK5du9i5cyeTJ09m3rx57N+/H1NT0weK99+vUygUBq2Y8vHx0b+HFi1acOzYMb788ksmTZpk0HWVSuV9Q3UPMpF2/PjxpKam8p///Advb2/Mzc0JCAigsLCwRDsrK6v7Xjtx4kSee+45FixYwJIlSxg9enS1T3iu1uTFxcWlxOOvv/6ahg0b0r179zJfo1AocHNzq86wHikKhYL+/ftz48YNDh8+TFZWFtu2baN+/fp06dIFa2truUMUBKGGKRSKUm8yxmLPnj1ERkby9ttvA+Dn50diYiIqlYr69euX+prWrVuze/dunn/+eYOuYWFhweDBgxk8eDBTpkyhWbNmREZG4ufnV6Kdr68vt27d4tatW/rel4sXL5Kenk7z5s0f/E2WwcTEhLy8PKC4AruZmRmHDh3C29sbKE5MTpw4wVtvvQUU32ezsrLIycnRf8/PnDlz33s4duwY48aN0x87evRoiTaHDh3ixx9/5KmnngLg1q1bpKSkGBTzU089hZWVFT/99BPbtm3jwIEDlX7flVVjFXYLCwv566+/eOedd8rtTcnOzsbb2xtJkvDz8+Orr76iRYsWZbYvKCigoKBA/zgzM7NK4zYWPj4+eHp6EhERQWRkJDdv3iQuLo7evXvrf+gFQRBqm4KCAhITE9FqtSQlJbFt2zZmz57NoEGD9DfbPn36EBAQwNChQ5k7dy5NmjQhPj5eP0nX39+fGTNm0Lt3bxo2bMjTTz+NRqNhy5YtfPDBB/ddMyQkBK1WS6dOnbC0tOSvv/7CwsKi1M/KPn360KpVK8aOHcvChQvRaDRMnjyZ7t273zeE8iDu3LlDfn4+BQUFHD9+nD///JORI0cCxb0ckyZNYurUqTg6OlKvXj3mzp1Lbm4uL774IoD+PXz44Ye88cYbHDt2rMQqLYA333yTCRMm4O/vT9euXVm2bBkXLlygQYMG+jaNGzfmzz//xN/fn8zMTKZOnWpwb5aJiQkTJkxg+vTpNG7c+L4hqWpR4ayYKrJq1SqdiYmJ7vbt22W2OXz4sG7p0qW606dP6/bt26cbNGiQztbWVnfr1q0yXzNjxoxSJ409yhN2K5KamqrbuHGjbvHixbqcnBy5wxEEoZqVNwmyNhs/frz+M1ulUulcXFx0ffr00S1evFin1WpLtM3MzNS9/vrrOg8PD52pqanOy8tLN3bs2BITadeuXatr27atzszMTOfs7KwbPny4/rl/TsJdv369rlOnTjpbW1udlZWVrnPnzrpdu3aV2lan0+liYmJ0QUFBOisrK52NjY1u1KhRusTERP3zM2bMuG/y64IFC3Te3t5lvvd7E3b/+f59fHx07733XolJz3l5ebrXX39d5+zsrDM3N9d17dpVP1H4nvXr1+saNWqks7Cw0A0aNEi3aNEi3b9v719++aXO2dlZZ21trRs/frzu/fffLxHzqVOndP7+/jq1Wq1r3Lixbs2aNff9PwC69evXl/p+rl27pgP0E4nLUlUTdhX/H1C169evH2ZmZoSFhRn8mqKiInx9fRkzZgxffPFFqW1K63nx8vIiIyMDW1vbh47bmKWnp5dY/3/x4kV8fHwqNTYsCELtl5+fz40bN/Dx8RGLHARZHDx4kN69e3Pr1i3q1KlTZrvyflYzMzOxs7Mz6P5dI4VCYmJi2LVrFxMnTqzU60xNTWnXrl25hW7Mzc2xtbUt8VVdvv/+e6PaY+ifiUtcXBzh4eGsWrWKixcvim0GBEEQhIdWUFBAXFwcM2fOZNSoUeUmLlWpRpKXJUuW4OrqysCBAyv1Oq1WS2RkJO7u7tUUmeFWrFjBG2+8gaOjI7///rvc4VTavYqThYWFhIeHs2HDBoMnYwmCIAhCaVasWIG3tzfp6enMnTu3xq5b7cmLJEksWbKE8ePHo1KVnB88btw4pk+frn/8+eefs2PHDq5fv86pU6d49tlniYmJqXSPTXWIjIxEoVCQl5fHxIkT8fX11dcXMAb3SmV37doVMzMzkpOTWbduHYcOHbpvKZwgCIIgGGLChAlotVoiIiKoW7dujV232pOXXbt2ERsbywsvvHDfc7GxsSQkJOgf3717l5deeglfX1+eeuopMjMzOXz4cLUsR6usr776isjISBo2bAjApUuXaNy4MS+88ILRFIZTKBS0aNGC4OBgfdnmCxcu8Pfff8scmSAIgiAYrsYm7NaUykz4eVDff/89U6dO1U8UtrW1ZfHixYwYMaJarldd4uPjCQ8Pp0OHDvpiUIIgGB8xYVcwFkY1YfdR8/rrr5OWlqYv5pOZmcnIkSPx9/cnPj5e5ugM5+HhwciRI0skLleuXOH48eNG05skCIIgPH5E8vKALC0t+fvvvzl69CgeHh5A8R5DXl5evPvuuwaVha4N/rkzdWFhIUePHuXMmTOsXr2amzdvyheYIAiCIJRBJC8PqVOnTty+fZuZM2eiUqmQJIlvv/0WV1dXdu/eLXd4lWJmZkb37t2xtrYmOzubHTt2sG3btvu2RBcEQRAEOYnkpYrMmDGDpKQknnjiCQBSU1Pp06cPPXr0ID09Xd7gKsHb25vg4GDatm2LUqkkNjaWNWvWcPr06RKbbAqCIAiCXETyUoUcHR05cOAA27Ztw9HREYD9+/fj4uLCrFmzZI7OcCqVio4dOzJy5Eg8PDzQaDScOHGCtLQ0uUMTBEGoFj169NBvdviounnzJgqF4r6NG42RSF6qQb9+/UhOTuatt95CqVSi0Wj45JNP8PT05MSJE3KHZzB7e3sGDRpEr169aNeuXYldwkUvjCAID2vChAkoFApeffXV+56bMmUKCoWCCRMm1Egs69atK3MbGkPdez/3vpycnOjfvz/nzp2roiiFe0TyUk2USiULFiwgJiZGv8X67du36dixI4MHDyY3N1fmCA3XqFEjOnTooH+ckZHBsmXLOH/+vNFMTBYEoXby8vJi5cqV5OXl6Y/l5+ezfPly6tWr99DnLyoqMqido6MjNjY2D329/v37k5CQQEJCArt370alUjFo0KCHPm9tUVuKmorkpZp5enoSERHBqlWrsLa2BmDz5s04Ojry448/yhzdg7l48SL5+fkcPnyY9evXc+fOHblDEgTBSPn5+eHl5cW6dev0x9atW0e9evVo165dibbbtm0jMDAQe3t7nJycGDRoUIlK5/eGRVatWkX37t1Rq9UsW7YMjUbDG2+8oX/dBx98wPjx4xk6dKj+tf8eNqpfvz5fffUVL7zwAjY2NtSrV49FixZV+H7Mzc1xc3PDzc2Ntm3bMm3aNG7dukVycrK+TWRkJL169cLCwgInJydefvllsrOzy4wFYOjQoSV6oQyJ7/jx47Rr1w61Wo2/vz+nT58u8bxWq+XFF1/Ub9jbtGlT/vOf/5RoM2HCBIYOHcqXX36Jh4cHTZs25fPPP6dly5b3vfe2bdvyySefVPh/VBVE8lJDgoODuXv3LuPHj0ehUFBQUMCUKVNo0qQJUVFRcodXKZ07d+aJJ57AzMyM1NRUNmzYwMGDB0vs7i0Igvw0Gk2ZX/8e+i2v7b/rPhnSpjJeeOEFlixZon+8ePFinn/++fva5eTk8M4773Dy5El2796NUqlk2LBh9/UAT5s2jTfffJOoqCj69evHnDlzWLZsGUuWLOHQoUNkZmayYcOGCuOaP3++/qY/efJkJk2axOXLlw1+X9nZ2fz11180atQIJycn/Xvo168fDg4OnDhxgjVr1rBr1y5ee+01g89rSHzZ2dkMGjSI5s2bExERwcyZM3nvvfdKvF6SJDw9PVmzZg0XL17k008/5cMPP2T16tUl2u3evZvLly+zc+dONm/ezAsvvEBUVFSJaRCnT5/m3LlzpX7fqoOq4iZCVVGpVISEhPDRRx8xePBgLl++THR0NC1atOCZZ54hJCTkvv2faiOFQoGvry/169fn2LFjXLlyhaioKG7cuEFAQACNGzeWO0RBEChOAspSr149+vfvr3/8xx9/lJmAuLu7M3jwYP3j5cuXk5+ff1+7l19++YHifPbZZ5k+fToxMTEAHDp0iJUrV7Jv374S7f5dxXzx4sW4uLhw8eLFEj0Bb731FsOHD9c//v7775k+fTrDhg0D4IcffmDLli0VxvXUU08xefJkAD744AMWLFjA3r17adq0aZmv2bx5s76XPScnB3d3dzZv3qyvqXXv/+6PP/7AyspKH8/gwYOZM2dOpXZlLi++5cuXI0kSv//+O2q1mhYtWhAXF8ekSZP0rzc1NeWzzz7TP/bx8eHIkSOsXr2a4OBg/XErKyt+++03zMzM9Mf69evHkiVL9FMKlixZQvfu3WnQoIHB8T8M0fMig8aNG3Pp0iV++eUX1Go1Op2OZcuWYW9vz4oVK+QOz2AWFhb06NGDoKAgHB0dyc/PL9H1KQiCYAgXFxcGDhxISEgIS5YsYeDAgTg7O9/XLjo6mjFjxtCgQQNsbW2pX78+ULxP3j/5+/vr/52RkUFSUhIdO3bUHzMxMaF9+/YVxtW6dWv9vxUKBW5ubhUOk/fs2ZMzZ85w5swZjh8/Tr9+/RgwYIA+MYuKiqJNmzb6xAWga9euSJJUqV6diuKLioqidevWJUrwBwQE3HeO//73v7Rv3x4XFxesra1ZtGjRff+frVq1KpG4ALz00kusWLGC/Px8CgsLWb58eal7GFaX2v9n/iPs5ZdfZty4cTzzzDOsX7+enJwcnnnmGb7++mvCwsKqZLJaTXBzc2P48OFcvnyZJk2a6I9nZGRgaWmJqampjNEJwuOrvJuJQqEo8XjcuHEGn/eZZ5554JjK8sILL+iHTv773/+W2mbw4MF4e3vz66+/4uHhgSRJtGzZ8r5JpP9MDB7Gvz+7FApFhYsUrKys9BvfAvz222/Y2dnx66+/GlwyQ6lU8u9tB0ubePwg8f3TypUree+995g/fz4BAQHY2Ngwb948jh07VqJdaf+fgwcPxtzcnPXr12NmZkZRUREjR440+NoPS/S8yEytVrNu3ToiIiL0ycq5c+fw8fFhypQpRrOaR6lU4uvri4mJCVA8lrpz505WrVrF9evXZY5OEB5PKpWqzK97v6uGtP33cLYhbSqrf//+FBYWUlRURL9+/e57PjU1lcuXL/Pxxx/Tu3dvfH19uXv3boXntbOzo06dOiXmZ2i1Wk6dOvVQ8RpKoVCgVCr1q6l8fX05e/YsOTk5+jaHDh1CqVTqh6NcXFxISEgoEe/58+crdV1fX1/OnTtXYnjv6NGjJdocOnSILl26MHnyZNq1a0ejRo1KTIAuj0qlYvz48SxZsoQlS5bw9NNPY2FhUakYH4ZIXmoJPz8/YmJimDNnDqampkiSxI8//oizs7NBY7O1TXZ2NhqNhtzcXHbt2sWWLVvIzMyUOyxBEGopExMToqKiuHjx4n2JFYCDgwNOTk4sWrSIq1evsmfPHt555x2Dzv36668ze/ZsNm7cyOXLl3nzzTe5e/fufb1PVaGgoIDExEQSExOJiori9ddfJzs7Wz9naOzYsajVasaPH8/58+fZu3cvr7/+Os8995x+vkuvXr34+++/+fvvv7l06RKTJk2qdKX2Z555BoVCwUsvvcTFixfZsmUL33zzTYk2jRs35uTJk2zfvp0rV67wySefVKoW2cSJE9mzZw/btm2r0SEjEMlLrfP++++TkpJC7969Abh79y4DBw6ka9eupKSkyByd4WxtbRk5ciR+fn4olUri4uJYs2YNERERosCdIAilsrW1xdbWttTnlEolK1euJCIigpYtW/L2228zb948g877wQcfMGbMGMaNG0dAQADW1tb069evxHyQqrJt2zbc3d1xd3enU6dO+hVFPXr0AIo39d2+fTtpaWl06NCBkSNH0rt3b3744Qf9OV544QXGjx/PuHHj9JNge/bsWak4rK2tCQsLIzIyknbt2vHRRx8xZ86cEm1eeeUVhg8fzujRo+nUqROpqan6CcCGaNy4MV26dKFZs2Z06tSpUvE9LIXu3wNrRi4zMxM7OzsyMjLK/CUwFgcOHGDUqFH6CVgqlYrp06fz+eefyxxZ5WRkZHDo0CHi4uKA4g+ooKAgLC0tZY5MEB4N+fn53LhxAx8fn2q5IT9qJEnC19eX4ODgh66q+zjT6XQ0btyYyZMnG9wLVt7PamXu36LnpRbr1q0bCQkJTJ8+HRMTEzQaDV988QXu7u4cOnRI7vAMZmdnx1NPPUWfPn2wtLTEyspKJC6CINSYmJgYfv31V65cuUJkZCSTJk3ixo0b1TLx+HGRnJzMDz/8QGJiYo3VdvknkbzUckqlkq+++or4+Hh9t1xiYiKBgYH079/fqJYmN2jQgNGjR5fo/iwsLBTbDAiCUK2USiUhISF06NCBrl27EhkZya5du/D19ZU7NKPl6urK559/zqJFi3BwcKjx64ul0kbC1dWVo0ePsmnTJsaNG0dGRgbbt2/HycmJOXPmGM1uqKampiWW9508eZLz589z6dIlAgMDcXNzkzE6QRAeRV5eXkbVW20M5J5xInpejExQUBBpaWm8+uqrKBQKCgsLefvtt2nQoIFR7lzq7OyMWq0mLS2NTZs2sW/fvlIrdwqCIAjCPSJ5MUJKpZKffvqJGzdu6Eti37hxgzZt2hAcHFxrdv00RJMmTQgODqZZs2YAXLlyhVWrVhEVFSV7Zi8IgiDUTiJ5MWLe3t5ERkaydOlS/QTYNWvWYG9vz9KlS2WOznBqtZpu3boxdOhQnJycKCgo4ODBgzVWREoQHhUi4Rdqu6r6GRXJyyNg3Lhx3L17l6effhqAvLw8JkyYQMuWLblx44bM0RnO1dWVYcOG0aVLF6ytrcVkOkEw0L2ibsbU6yo8nu79jJZWiLAyRJ2XR8z58+cZMmSIviS/QqFg4sSJ/Pzzz/pdTY2BJEkl4g0PD8fNza3EniGCIBTT6XTExsZSVFSEh4eHUf2uC48PSZKIj4/H1NSUevXq3VfhuDL3b5G8PKL+85//8MEHH1BQUAAUF4b7448/GDJkiMyRVV5cXJx+iwQPDw8CAwOxt7eXNyhBqGUKCwu5ceOGKDsg1GpKpRIfH5/7dqkGkbyI5OX/ZWdnExwczNatW/XHOnTowKZNm4xqSbJWq+XcuXOcOnUKrVaLUqmkTZs2tGvX7qE3gxOER4kkSWLoSKjVzMzMyuwZFMlLNSYvkZGRtGrVqsrPW52OHDnCiBEj9LuUmpiY8M477/D1118bVfdyVlYWhw4dIjY2Fijeu6Nr1654e3vLHJkgCILwsMT2ANXkxIkTzJkzh88++0x/AzUGAQEBxMfHM2PGDFQqFVqtlnnz5uHm5saePXvkDs9gNjY29O/fnyeffBJra2uys7M5dOiQ2OhREAThMSN6XiohLCyMtWvXotFoMDExoXfv3gQHBxvVRmgpKSkMGzaM8PBw/bFevXqxfv16oxpm02g0nDp1Cjc3N+rVqwcUT1rU6XRG1ZskCIIgFBPDRtU4bHTr1i2WLFnClStXAHBwcGDs2LF07ty5yq9VnbZu3crYsWO5e/cuUFy2//PPP2fatGkyR/bgLl68yPnz5wkMDMTDw0PucARBEIRKEMlLDUzY3b9/P6tWrSIzMxOArl27MmnSpGq7XnWQJIm3336bH374Qb9CwcvLi3Xr1uHv7y9zdJWj0+lYs2YN6enpADRq1IjOnTuL3asFQRCMhJjzUgO6d+/ON998Q8+ePVEqlfoy/cZEqVTyn//8h5iYGNq2bQsU9yx16NCBoUOHGtUeQwqFgqFDh9KiRQsArl69yurVq7lw4YKoOioIgvCIET0vVeD27dvUrVtX/zg8PBxra2t9QmAsVq1axcSJE8nOzgaKy/YvXLiQV155RebIKic5OZnw8HCSk5OB4s0fu3fvjpOTk8yRCYIgCGURPS817J+JS3p6OkuXLuWbb75h4cKFpKWlyRhZ5YwePZq7d+8ybtw4FAoF+fn5vPrqqzRt2pTLly/LHZ7BXFxcGDp0KIGBgZiZmZGamip6XwRBEB4hInmpYiqVSt/jcvLkSd5//33CwsKMpuqlSqVi6dKlREVF0aRJE6B4p2dfX1/Gjx+PRqOROULDKBQKmjdvzujRo+nRowfOzs7651JSUmSMTBAEQXhYYtiomly4cIGlS5cSHx8PgKenJxMmTKBZs2ayxfQgfvrpJ9555x39/Bdra2t+++03Ro8eLXNkDyY9PZ3Q0FBcXV0JDAzE0dFR7pAEQRAExGqjWpG8QHFZ+7CwMDZv3kx+fj4mJibMmTPHqErzA+Tn5/P000+zceNG/bF27dqxadMmPD09ZYys8q5fv86+ffvQaDQoFApatWpF+/btMTU1lTs0QRCEx5pIXmpJ8nJPSkoKS5cuRa1WM2XKFLnDeWAnT55k+PDh3Lp1CyherfTaa6+xYMECoyoMl52dzZEjR7hx4wYAVlZWdOnSBR8fH5kjEwRBeHyJ5KWWJS/3SJKkv8nHxsayZMkSxo8fT/369eUNrJJmz57NjBkzKCoqAsDR0ZHly5fTr18/mSOrnNjYWA4dOkRWVhYADRo0oE+fPjJHJQiC8HiqNauNZs6ciUKhKPFV0ZyPNWvW0KxZM9RqNa1atWLLli3VGWKN+mfvxJ9//kl0dDQzZsxgyZIlRlVTZfr06dy5c4eePXsCkJaWRv/+/XniiSeManVVvXr1GDVqFH5+fiiVSlxcXOQOSRAEQTBAtff1t2jRgoSEBP3XP/fU+bfDhw8zZswYXnzxRU6fPs3QoUMZOnQo58+fr+4wa9zzzz+Pr68vWq2W3bt38+6775b7f1Pb2Nvbs2fPHnbv3q1fyRMeHk6dOnWYOXOmvMFVgkqlwt/fn+Dg4BK7hSclJREXFydjZIIgCEJZqnXYaObMmWzYsIEzZ84Y1H706NHk5OSwefNm/bHOnTvTtm1bfv75Z4POUZuHjUpz6NAhli9fTkZGBgC+vr48//zzRrU3jyRJTJs2jW+//Va/w7O7uztr164lICBA5ugqT5IkQkNDSU9Pp0GDBgQEBGBlZSV3WIIgCI+0WjNsBBAdHY2HhwcNGjRg7NixxMbGltn2yJEj98056NevH0eOHCnzNQUFBWRmZpb4MiZdu3Zl/vz59OnTBxMTE6Kiojh48KDcYVWKUqlk7ty5xMXF6fdESkhIoEuXLjz11FPk5ubKHGHlSJKEl5cXCoWC69evs3r1aiIjI42mVo8gCMKjrlqTl06dOhESEsK2bdv46aefuHHjBk888YR+guS/JSYmUqdOnRLH6tSpQ2JiYpnXmD17NnZ2dvovLy+vKn0PNUGtVjNhwgQ+++wzOnbsyPDhw/XPGdON383NjRMnTrBu3Tp91rx161YcHR35/vvvZY7OcCqVioCAAIYPH06dOnUoKiriyJEjrFu3rtyfRUEQBKFm1Ohqo/T0dLy9vfn222958cUX73vezMyMpUuXMmbMGP2xH3/8kc8++4ykpKRSz1lQUEBBQYH+cWZmJl5eXkYzbFQejUbDBx98gLu7OxMmTChRJba2kySJV155hd9//11fmr9BgwZs2rRJv3miMdDpdFy+fJljx47pf86GDh2Kq6urzJEJgiA8WmrVsNE/2dvb06RJE65evVrq825ubvclKUlJSeUWdTM3N8fW1rbE16PizJkzJCcnc+bMGT744APWr1+vn1NS2ymVSn799Veio6Np3rw5UFwgrlWrVowZM4bCwkKZIzTMvRVyo0ePpmnTpnh6eorERRAEQWY1mrxkZ2dz7do13N3dS30+ICCA3bt3lzi2c+dOo5z0WRX8/f356KOP8PT0pKCggLVr1zJt2jQuXLggd2gGa9iwIRcuXGDx4sVYWFig0+lYuXIlDg4O/PXXX3KHZzC1Wk337t3p37+//lhBQQHbt28nNTVVxsgEQRAeP9U6bPTee+8xePBgvL29iY+PZ8aMGZw5c4aLFy/i4uLCuHHjqFu3LrNnzwaKl0p3796dr7/+moEDB7Jy5Uq++uorTp06RcuWLQ26prGtNjKEJEn8/fffbNy4UV8PplOnTrzyyiuYmZnJHJ3hCgsLefbZZ1mzZo3+WKtWrQgLC8Pb21vGyB7M4cOHOX/+PAqFghYtWuDv729U3w9BEITapNYMG8XFxTFmzBiaNm1KcHAwTk5OHD16VF8MLDY2loSEBH37Ll26sHz5chYtWkSbNm0IDQ1lw4YNBicujyqlUsngwYOZO3eufjVPcnKy0d0ozczMWL16NWfPntVXFY6MjMTHx4dJkyYZ3WqeNm3a0KBBA3Q6HefPn2f16tVcu3ZN7rAEQRAeeWJ7ACN09uxZ7O3t9b0V2dnZJCUl0bBhQ5kjq5xvv/2W6dOn6+e/2NnZ8ccffxAUFCRzZJUTFxdHeHi4fpl+3bp1CQwMxM7OTubIBEEQjIfY2+gRT17+7ZdffuHQoUN069aNZ555BktLS7lDMlh2djYjR45k+/bt+mOdO3dm48aNRjUxVqvVcvbsWU6fPo1Wq6VZs2Z069ZN7rAEQRCMRq0ZNhKqnyRJZGRkIEkS+/bt491332X//v1yh2Uwa2trtm3bxsGDB/Wryo4ePYqHhwcffvih0QwlmZiY4Ofnx6hRo2jYsCEdO3bUP2csK8QEQRCMheh5eUQcPXqU5cuX6zdGbNKkCc8//7zRFe376KOPmDNnjv6G7+rqypo1a4y6F2Pbtm0olUq6dOmCtbW13OEIgiDUSmLY6DFMXgDy8/NZs2YNu3btQqvVYmJiwksvvURgYKDcoVVKSkoKQ4YM4fDhw/pjffr0Ye3atUb3Pb179y5r165FkiRUKhV+fn60bt26xA7jgiAIghg2emyp1Wqee+45vvjiCxo1aoSpqam+QJwxcXZ25tChQ4SFhWFvbw/Arl27cHFxYd68efIGV0kODg4MHz4cNzc3NBoNx48fJzQ0lPj4eLlDEwRBMFqi5+URdvv2berWrat/HBoayhNPPHHf/lG1mSRJvP766/z888/6+S/e3t5s2LCBtm3byhtcJV25coWjR4/qa/U0btyYLl26YG5uLnNkgiAI8hM9LwJAicTlyJEjbNiwgenTpxMaGopGo5ExMsMplUr++9//cuPGDVq3bg1ATEwM7dq1Y8SIEfpEwBg0adKE0aNH63vDkpKSMDExkTkqQRAE4yOSl8eEq6sr9erVo7CwkA0bNvDBBx9w7tw5ucMyWL169Th79ix//fUXVlZWAKxbtw5HR0d+++03maMznLm5OYGBgQwdOpQePXqgUqmA4h4msc2AIAiCYcSw0WNEkiS2b9/O+vXryc3NBYr3T5owYYJ+bokx0Gg0jB8/nhUrVuh3rG7WrBmbNm2icePGMkf3YM6fP8/hw4dp3rw5HTt2NLrqybWVJEncPvw3uXduYV23Ie4d+orJ0oJQS4nVRiJ5KVd6ejp//vknx44dA8DDw4O5c+fKHFXlRUVFERQUpN+lXKFQMGHCBBYtWqTv0TAW4eHhXLx4EQALCws6d+5stIlYbXF57Q9c2fALOu3/hkiVpmb4jn6Hhk+NlzEyQRBKI5IXkbwY5Pz58yxdupThw4cb9c7dP/zwA++99x4FBQUA2NjYsHjxYkaOHClzZJUTHx9PeHg46enpALi7uxMYGIiDg4O8gRmhiysXcHXTojKfbzH2AxoOnFBzAQmCUCGRvIjkxWCSJJXoRt+8eTNxcXE8++yzRlVQLTc3l9GjR7N582b9sfbt27Np0yY8PDxkjKxyJEni3LlznDp1Co1Gg1KpJDAwkGbNmskdmtGQNIVsHt8OdGVXZ1aoTBkYckYMIQlCLSJWGwkG++eHd3Z2Nhs2bCA8PJz33nuP3bt3yxhZ5VhaWhIWFsbx48f1q6wiIiLw8vLinXfeMZptBpRKJW3btiU4OBhvb290Op1R7fFUG1zb8ke5iQuATlPE7UOby20jCELtJZIXQc/a2ppXXnkFJycnsrOzWbJkCTNmzCAmJkbu0AzWoUMH4uLi+OKLL1CpVEiSxIIFC3B1dWXnzp1yh2cwa2tr+vXrx8iRI3F0dNQfv3LlCllZWTJGVvtlx183qF1WXHQ1RyIIQnURyYtQQocOHZg3bx5PPfUUKpWKa9eu8emnn7J06VKjqqny8ccfk5SURPfu3QFITU3lySefpEePHvo5Jcbgn/Nd0tLS2L9/P6tXr9bvXi3cT+1oWBFGC2fjGU4UBKEkkbwI9zEzM+OZZ57hyy+/pFmzZmi1Wnbv3m1UPTAAjo6O7Nu3jx07duDk5ATA/v37cXFxYdasWTJHV3kqlQp3d3e0Wi0nTpwgNDSU27dvyx1WrdNw0IsVN1Iq8e45qvqDEQShWogJu0KFwsPDiY2N5ZlnntEfy83NxdLSUsaoKkeSJKZOncrChQv181/q1q3L2rVr6dSpk8zRVc7Vq1c5evSovlZPw4YNCQgIMKrvR3U79eP7xIWHlfl8gwHjafnctBqMSBCEiojVRiJ5qVY3b95k1qxZ9O3blxEjRhhVTZX4+HiCgoKIiIjQHxs4cCCrV682qpt/YWEhJ0+e5MKFC+h0OqysrBgzZoxYPfMPEf+dWsqkXAX1+46h9fOfyBKTIAhlE8mLSF6q1W+//ca+ffsAcHFx4bnnnsPPz0/eoCopNDSUF154QT/51dzcnG+++YbXXntN5sgqJyUlhfDwcBo2bEirVq3kDqfWKczOJHrTL+SlJmJVpx6NgyaiUlvJHZYgCKUQyYtIXqrdzp07CQ0NJScnB4B27doxYcIE/dwSY6DRaHj55ZcJCQnRbzPQsGFDwsLC8PX1lTk6w92LXaFQABAXF8f169fp2LEjarVaztAEQRAMJpIXkbzUiKysLP78808OHz4MgFqtZvjw4Tz11FMyR1Y50dHRBAUFcenSJaA4CRgzZgxLly41qiExKE5kVq9eTUZGBmq1mk6dOtGkSRN9YiMIglBbiSJ1Qo2wsbFh8uTJfPTRR9StW5f8/Hx9T4wxady4MVFRUfz6669YWFig0+lYvnw59vb2LFu2TO7wKkWhUNC9e3ccHR3Jz89n//79bNq0ibS0NLlDEwRBqDKi50WoEpIksWvXLnr16qXvrbhx4wZOTk5G9X3Iz89n7NixrFu3Tn+sVatWhIWF4e3tLWNklSNJEufPn+fkyZNoNBoUCgUtW7bE398fU1NTucMTBEG4j+h5EWqcUqnkySef1CcuGo2G7777jvfee4/t27fLHJ3h1Go1a9eu5fTp09SrVw+AyMhIGjRowOTJk41qm4HWrVszevRoGjRogE6nIzIyUtSFEQThkSCSF6Fa3LlzByiuB/Pnn3/y8ccfc/26YWXba4O2bdsSExPDnDlzMDU1RZIkfvrpJ5ycnEps/ljbWVlZ0adPHwYMGEDz5s2pX7++/jlRoVcQBGMlho2EaqPRaFi7di3btm2jqKgIpVJJ9+7dGTNmjFHVVMnMzGTEiBHs2rVLfywgIIBNmzbh7OwsY2QPLj8/n7Vr19K0aVPatm1rdBOTBUF49IhhI6FWUKlUjB49mtmzZ9OiRQskSWLv3r1MnTqVlJQUucMzmK2tLTt37mT//v36HZ6PHDmCm5sbH330kczRPZjo6GhycnI4deoUoaGh3Lp1S+6QBEEQDCaSF6Haubm5MX36dKZMmYKDgwMuLi5G2WPRrVs3EhISmD59OiYmJmi1Wr766ivc3d0JDw+XO7xKadWqFX369MHKyorMzEy2bt3Kzp07yc7Oljs0QRCEColhI6FG5efnk52drU9e7t04hw0bhpmZmczRGe7OnTsEBQVx7Ngx/bEnn3yStWvXYm1tLWNklVNUVERERASRkZHodDpUKhX+/v60bt1a7tAEQXjMiGEjodZSq9Ulel3+/PNPwsLCmDp1KidOnJAxsspxdXXl6NGjbNy4ETs7OwD97tXz58+XOTrDmZqa0rlzZ0aMGIGbmxsajYaMjAy5wxIEQSiX6HkRZLV3715Wr16t32OodevWPP/887i4uMgcmeEkSWLKlCn88ssv+lL93t7ebNq0yah6MHQ6HdHR0Xh7e2Nubg5AdnY2KpVKbDMgCEK1E9sDiOTFqGRnZ7N8+XLCw8ORJAkzMzMGDhzIkCFDjGoVTExMDIMGDeL8+fP6YyNHjmTZsmVGNST2T1u2bCE5OZmOHTvSrFkzsc0AIGk0ZCVcR2liipWbt9jJWxCqiEheRPJilK5cucKSJUv0K1+efPJJxo0bJ3NUlffHH38wadIkcnNzAbCwsOD777/nxRdflDmyyikoKGDz5s2kpqYCxUNlgYGBRjnZuipoCvOJ+O5tkk4fAF1xsUKlqRn1eoyk9fOfyBydIBg/kbyI5MVoSZLEtm3b2L59O5999hn29vZyh/RACgsLGT9+PCtXrtQf8/X1JSwsjIYNG8oYWeVIksTFixc5efIkhYWFKBQKmjdvTocOHYy2N+lBSJpCdr7Rh4L05FKfd2ziR+BM49oHSxBqG5G8iOTF6EmSVKI7fsGCBTRt2pT+/fsbVTf9+fPnGTJkiL66sEKh4IUXXmDRokVG9T5yc3M5evQoV69eBYp7kwYOHIijo6PMkdWMs7/PJGb3qnLb+L02D88ug2ooIkF49IjVRoLR++eN/dixY0RERLB8+XI++ugjoqOjZYysclq2bMm1a9dYuHAh5ubm6HQ6fv/9dxwcHFi7dq3c4RnM0tKSXr16MWjQIOzt7TE3N9evsnocxIWHVdjmyvqfayASQRBA9LwIRkCj0bBx40b+/vtvCgsLUSqVBAYG8swzzxhVTZXs7GyCg4PZunWr/pi/vz9hYWG4ubnJGFnlaLVacnJy9L9f93awbt68uVFNsK6MTc/4VtjGRG3JwMURNRCNIDyaRM+L8EhRqVSMGDGCr7/+mtatWyNJEgcOHGDq1Kns3btX7vAMZm1tzZYtWzh8+DDu7u4AnDx5Ek9PT6ZOnWo0O1abmJiU+GA5f/48R48eZfXq1cTExMgYWTUyYJWVUvX4zAESBLlVa/Iye/ZsOnTogI2NDa6urgwdOpTLly+X+5qQkBAUCkWJL1FjQoDi1S7vv/8+b7zxBk5OTmRlZbF+/XoKCwvlDq1SAgICiI+PZ8aMGahUKrRaLd988w116tRh9+7dcodXafb29lhbW5Odnc327dvZvn27vm5PbXJ925/seK0Hm8a2IOzZluz9IIjE0/sNeq2tV9MK29Rp1/1hQ5SdpCkk/sROboWHkV/G5GRBqA2qddiof//+PP3003To0AGNRsOHH37I+fPnuXjxIlZWVqW+JiQkhDfffLNEkqNQKKhTp45B1xTDRo+HwsJC1qxZQ5MmTejQoQNQPLyk0WiMKtlNS0tj6NChHDx4UH+sR48erF+/3qhWWmk0Gk6dOsW5c+eQJAmVSkW7du1o06ZNrZiYfGjWBFIvHiv1uUZBL9P86bfLfX3KheMc/nJ82Q2USp787wHUdk4VxpJ6KYJbBzcCOjw6P4Vrq4AKX1PdJEki4ru3STixS78MHMDWqwmdP/gVtaOrjNEJj4tau9ooOTkZV1dX9u/fT7du3UptExISwltvvUV6evoDXUMkL4+v9evXs2fPHsaOHUvnzp3lDqdStm/fzjPPPENaWhpQXLb/s88+Y/r06TJHVjnp6emEh4cTHx8PQNOmTeneXd4eiSsbF3Fp1YJy23T7ci32Ps3LbXNjx3IiQ2YBJT8yFSYqOk/7FZcW5f/M5STdIvyzsfcttzazcaDLx39g69Wo3NdXp30fDifzZlSpzynN1PT9bjfmto/HyjJBPrV2zsu9PVMqWl6ZnZ2Nt7c3Xl5eDBkyhAsXLpTZtqCggMzMzBJfwuNHkiQOHjzI3bt3+eGHH5g9ezaJiYlyh2Wwfv36kZyczFtvvYVSqaSoqIgPP/wQLy8vTp48KXd4BrO3t2fQoEH06tULKyurWrE9wvUtIRW2ubBsToVtfJ58hv6LjuLdKxgbz8bY1mtGk+GTGbgkosLEpTA3m70fBJVaJ6Yw6y77Pxou2zDN7cNbykxcAKTCfHZM6c6eqYOI3b++BiMThLLVWM+LJEkEBQXp/zIry5EjR4iOjqZ169ZkZGTwzTffcODAAS5cuICnp+d97WfOnMlnn31233HR8/L4yc3NZcWKFezfvx9JkjA1NaV///6MGDHCqFbBxMXFMWTIEE6dOqU/NmTIEFauXGlUQ2L/rtVz8uRJ1Go1zZs3r9GhJENWCpla2TLg19KHlarCmV8/JXbvmnLbeHTqj/+b5fcQVYe9HwSRdcvw8gNW7vXpOScMpRH9TgnGoVYOG02aNImtW7cSHh5eahJSlqKiInx9fRkzZgxffPHFfc8XFBRQUFCgf5yZmYmXl5dIXh5j165dY/HixfqVL66urrz00kv4+lZ8E6tNVq9ezYsvvkh2djZQvCP3t99+y6RJk2SOrPLu3r1LaGgoOp0OZ2dnAgMDcXWtmXkUhiUvdgz49Wi1xbBlYkc0ueVPYlaaqRkUcrraYijL1pcDKMpOr9RrXFp1JWD6b9UTkPDYqnXDRq+99hqbN29m7969lUpcoHjsv127dvrKnv9mbm6Ora1tiS/h8dawYUO+/PJLnnvuOSwtLUlJSTHKUvbBwcHcvXuX8ePHo1AoyM/PZ/LkyTRp0qTCVXu1jb29PV27dsXMzIyUlBQ2bNjAwYMHS/zhUV3M7Sveody+UatqjUFbkF9hG6lInlVzKrVlpV+THHkYTX5ONURTTJOfy/Xty7i87kdSLhyvtusIxqtakxedTsdrr72mn0jp4+NT6XNotVoiIyP1dTEEwVD9+vXjm2++YeLEiSX2Ezp//rzR1FRRqVSEhIQQFRVF06bFy3Wjo6Px9fVl/PjxaDQamSM0zL09kUaPHk2TJk0AiIqKYtWqVVy5coXq7ABuPOSVCtu0fHZatV0fQGVRcYJgYibPkKBn18EP8CodcYe3VHkskiRx8j9vs+VFf84vncXl0O85/OV4tkzsyJ1zBys+gfDYqNbkZcqUKfz1118sX74cGxsbEhMTSUxMJC8vT99m3LhxJVZUfP755+zYsYPr169z6tQpnn32WWJiYpg4cWJ1hio8omxtbUusbLt27Rpz585l+vTpXLp0ScbIKqdp06ZcunSJX375BbVajU6n448//sDBwYFVq8rfc6c2sbCwoEePHgwePBgHBwfy8/M5fPhwtfbANOg3Fo9O/ct8vvnYqdjUrd7NMj0Dh1TYxr3jk1V2vdyUBI7Nn8LmCe0Ie7YlW1/uzIXl85A09/fuNB0xGRNzi0pfQyqsuDepso7OfpH4Y9vgX8msJjeLo1+/InphBL1qTV5++uknMjIy6NGjB+7u7vqvf37YxsbGkpCQoH989+5d/fyEp556iszMTA4fPkzz5uUvYxQEQyQkJGBmZsbt27eZNWsWP/74Y60sqFaWl19+mbt37zJs2DCgeGXe008/Tdu2bYmLi5M5OsO5u7szYsQIOnfuTOfOnUtMRK6O3iT/Nxfg//Z32Hg2QmlqhtJMjWOzDnT7ci2NBr5Q5df7N58B48p9XmFqTsvnqmZZfOqlCHa91YekiD1IhfnoJC1F2Rlc27yYHa/3QpOfW6K9UmVG96/XY2ptX6nruLYrvdzFg8q4GUXKhfLmHek4veijKr2mYLzE3kbCYyc1NZWQkBBOny6eHGltbc3IkSPp06ePzJFVzqlTpxg6dCi3bt0CijeznDJlCgsXLqwVheEeRGxsLAcPHqRLly4PNMxcW+1+pz85iWVvnWBZpx59Fmx/6OtIksSW5/2QisruyXJs5k/gp3+W+lz88R3c3LOGlMhD9/V+VEe8/3R03qvcMaDi8ZM/HkBtwDwmwfjUugm7glCbODk58e677/LOO+/g4uJCdnY2ISEhfPnll3KHVil+fn7ExsYye/ZsTE1NkSSJ77//Hmdn5xKbPxqTyMhIcnJy2LlzJ1u3bn0k6jZl3rpabuICkJsUS1b8jYe+VszuVeUmLgBpl05SmJtd6nMeHZ+ky7Rf6fjOD0Dp+zkpVWYETKv6lUb5qYbVZcpOuFnl1xaMj0hehMeWn58f8+bNY/DgwZiamhrt0OS0adNISUmhd+/eQPHQ61NPPUVgYCApKSkyR1c5/fr1w8/PD6VSya1bt1izZg0RERFotVq5Q3tgsftCDWp3a/+6h75WwoldBrVLrmDyq1v7Xjzx+SrsGrTUb0qpUJrg0jqQPgt3YlXH66Fj/TczGweD2lm6VG7FqvBoElWGhMeaSqVi9OjRdO/eHWdnZ/3xU6dOkZubS2BgoIzRGc7W1pZdu3axb98+goODSU5O5tChQ7i7u/PRRx8xc+ZMuUM0iEqlwt/fn8aNG3Po0CHi4uKIiIggOjqabt264eHh8VDnz01JIGrVt+QkxGBqbUfjIS/j7NuhiqIvnU5r2BweycB25VEYsPu1oRwataL7rPIL61WlJkMnVTDnpXjZu6WzWHkqiJ4XQQDAzc1NX4W3sLCQkJAQfv75Z2bNmsXt27dljs5wPXr0IDExkffffx8TExM0Gg2fffYZHh4eHDlyRO7wDGZnZ8dTTz1Fnz59sLS0JDMzk6Kiooc656kf32fXG724fWgz6dcjST4XzuEvxrH73QH3TWKtSu4dDFtF5N6hbxVcy7BzuLR+4qGvVdWcW3TExrNxuW1ajjOuvb6E6iOSF0H4F51Oh5+fHyYmJly6dImPPvqI5cuXU1goTxGxylIqlcyZM4e4uDg6duwIFK+y6tKlCwMGDNBX7DUGDRo0IDg4mG7duuHt7a0/npqaWqlaPReWzSUuPKzU53ISbnLgk+CHjrUszi06VjgkYmbnhFNTv4e+Vr1eo1CamZfbxrGZP2aW1g99rerQ/atQ7Bvdvx+WwkRF6xdmUrfzgJoPSqiVxGojQShDTEwMv//+O9evXwfA2dmZZ599Fn9/f5kjq5yNGzcyfvx4/caoZmZmzJkzh7feekvewB5QXl4eq1atwtramsDAQNzc3MptL0kSf09oi05Tfs/NE7PW4NCgZVWGqpcRc4kDH48qdQhJYaKi+1frS+wqrcnPIWrVQpJO7aMg6y4KpRJLl7p49wrGu/focleTpV6K4NCscVBKcmdu70Lvb7c9UFXdmpSTdItrfy+mKC8bh4atqf/kWKNdQScYrlbubVRTRPIiVLXdu3ezZs0afY/F9OnTadGihcxRVY4kSbz66qv89ttv+mq2Pj4+bNq0iZYtq+eGXV0SEhLYsWOHvrBd06ZN6dSpU5mbViae3s/xea9WeF73jv3o8NbCqgy1hNyUBM4tnkly5GF0Wg0KExUurbvS+oWZWDr9LwFLPLWP499OKTX5ADBRW9Ft1hrMbZ3Iv3sHSxeP+5KR3NRELvzxFUlnD6LTFKGytMG75wiajXrroTZULMzO5OKKeSQc34G2MB9TS1u8ewfTZOgksVGj8NBE8iKSF6GKZWdns2zZMlJSUvjoI+MtlHXjxg0GDx7MhQsX9MdGjx7NH3/8YVT7P+Xn53P8+HF9lWRzc3M6duxIs2bN7pu0GrM3lLO/flLhOZ1bdqHLh79XS7yGyk1NZNcbvcqtsVIaG89GtJs0B3uf6lsxl3nrKgc+GlFqlV5zO2d6L9iGSm1VbdcXHn2izosgVDFra2teeeWVEltZpKenM2PGDM6fPy9jZJXj4+PD+fPnCQkJwdKy+K/1VatW4eDgwNKlS2WOznBqtZpu3boxZMgQnJycKCgo4ODBg2zatOm+uTAOjdoadE7bek2qIdLKufjXnEonLgBZcVc58PFI0q5U367Uhz5/ttTEBaAgI4XDX71YbdcWhH8TyYsgVMI/x91XrFjBtWvX+Prrr/n+++9JT0+XL7BKGj9+PHfv3mX06NEA5ObmMmHCBFq2bMmNGw9fLK2m1KlTh2HDhtGlSxdMTU1xdna+b26ErVcjzB1cKziTgmYjX6u+QP8lPz2ZKxsXEbXmO+5ejdQfTz5/+MFPqtNx/NvXqyC6+yVG7KEoJ6PcNulXz1KQmVYt1xeEfxPJiyA8oKefflo/effYsWO8//77bN261Wh2rDYzM2PlypVERkbqS/FfuHCBhg0b8uqrrxrN+1AqlbRs2ZLRo0fTocP/arakp6dz9epVAPzfWKAvtlaaxkNfqZEhD01hPgdnjGHH5G5cWrWA6PU/cfDTYLZP7kZGzCWkh9zXqTAztUQyVFVuHdxkULv4Y1W7ZYAglEUkL4LwgBwcHHjrrbd4//33qVOnDrm5uSxbtoxPPvlEf9M0Bi1btuT69essWLAAMzMzdDodv/zyC46OjmzcuFHu8AxmaWlZYt5OeHg4e/bs4e+//8akTgMCZyzD4l/VWVWWNrQc9yG+wW9We3ySJLF36iDuRp+577mC9GQOfDQStcPD79mTGlUNOy/rDEtkdf9KeO9ejSR23zpSL0VUfUzCY01M2BWEKqDRaNiwYQNbtmyhsLCQgIAApkyZIndYlZadnc2oUaPYtm2b/ljHjh3ZuHFjhUuSaxNJkjhz5gynT59Gq9WiVCpp06YN7dq1ozAjhczYy1g4u2PnVXPzXG7uWcO53z4tt42NZyOy4h4u8W394kzq9x79UOf4t1sHN3H6pw8qbNfn+71YOrlx+/AWzi35jKKc/+1NZaK2pPnT7+Lz5DNVGpvw6BCrjUTyIsjkzp07rFixgueff17/85ebm6ufHGssDh06xMiRI0lMLN4sz8TEhHfffZfZs2cbVb2NzMxMDh8+TGxsLAA2NjZ07dqVevXq1Xgse94bSHb89fIbKZS4tAwgOfLQg11EoeCpJadQmZW+bPxh/P28H9qCvDKft/VqQo85GytMdHyffpfGQROrPD7B+InVRoIgE1dXV958880Sv3hz587ls88+49atWzJGVjldu3YlISGBjz/+GJVKhVarZe7cubi5ubFv3z65wzOYra0t/fv358knn8Ta2pqsrCy2bdsmy6Tkwqy7FTfSSQRM/41GgydiYm5R6Wu4d+hbLYkLQOdpv0EZiatKbUXnDxcDcG7xzHLPE7V64UPP7REE0fMiCNXoxo0bzJw5E61Wi4mJCX369CE4OBhz8/JLuNcmKSkpDB06lEOH/tcb0Lt3b9atW2dUv2NFRUWcOnWKuLg4hg0bVuM9SLve7kduUmz5jRQKgpZd1D8szE6nMDuLgswUzKxssXByY+8HQ8hLvn+/LccmfnT59M9qfV85SbeIDPmC5AtH0Wk1mJip8ejUnxbjPsTM0pqEk7s58W3Fq7aaj51Ko4EvVFucgnESw0YieRFqkVu3brF48WKio6OB4om+Y8eOpXPnzjJHVjlbt25l7Nix3L1b3INgamrKrFmzeP/992WOrHIkSdLf4CVJYteuXbRs2fKhd6yuyNW/F3Nx2bxy29g3ak23z1dVeK74Ezu5GvY7RdkZqB1daTbqzSrZG+lhRa3+D9Ebfq6wnecTQ/Cb9HUNRCQYE5G8iORFqIX27dvHqlWryMrKAqBFixZMnjwZOzs7mSMznCRJvPXWW/z3v//VL6X28vJiw4YN+PnJf/OsrHPnznH06FEAGjduTOfOnbGwqPxwjSEkSWL7q10pyk4vvYFCQfcv12JX37darl8TbuxYTmTIFxW2azjweVqMNa6kV6h+Ys6LINRCPXr0YP78+fTo0QOlUsmdO3eMbiKvUqnku+++48aNG7Rp0wYo7llq3749w4cPJz8/X+YIK6dp06Y0b15cUj86OppVq1Zx8eJFquNvOqVSSe9vt2Ll5n3fcybmlgR8uNioExcA714jQVHxbaXhIFGNV3g4oudFEGRw7do18vPz9Rs8ajQaLl++bHQbPq5YsYKXXnqJnJwcoLhs/3/+8x9efvllmSOrnOTkZA4ePEhKSgpQvIP4E088gYvLw9ddKU1GzCVu7lqJVFSIa9snqNt5QLVcRw5nfv2E2L2hZT7v2uYJOn+wqAYjEoyFGDYSyYtgZEJDQ9mwYQP+/v6MHz8eBwcHuUMymEaj4YUXXuCvv/7S91g0bdqUsLAwGjduLHN0htPpdERFRXH8+HEKCwvx9PTkqaeekjsso3Tyu3eIP7r1vuPOLTrTefrvRrXcXqg5InkRyYtgZH799Vf2798PFPdeDBkyhIEDBxrVh3xUVBRDhgzRT0xWKBSMHz+eX3/9FZVKJXN0hsvLy+PYsWO0bdsWe3t7AP1qsdoiP+0OVzYtojAzDVuvxjQa/CJKVe3aFTw/7Q5Rod+Rl3wbc3sXmo6cgnWd+4fMBOEekbyI5EUwQhcuXCAkJISEhAQAPD09ef7552natKnMkVXOTz/9xDvvvKOf/2JjY8PixYsZOXKkzJE9uPDwcO7evUtgYKCsvWKSJHH065dI+fcGjgolTYdPoumImttc0lgkRuwh+fwRVBbW+Dz5DGr76hkKFB6eSF5E8iIYKY1GQ1hYGJs3b6agoACFQsGoUaMICgqSO7RKyc3NZcyYMWza9L8N/fz8/AgLC6v2JclVLT8/nxUrVlBUVIRSqaRVq1b4+flhampa47EcmjWe1Itl713UYuwHNBw4oeYCqsWSzhwk4ru30eTnlDju2LQ9XT5aXOt6qgSx2kgQjJZKpWLYsGHMmTOHtm3bolQqad26tdxhVZqlpSUbN27k+PHjeHoWb4Z46tQpvLy8ePvtt41mx2ooHsYbNWoU9evXR5Ikzp49y5o1a7h582aNxpGdcLPcxAXgUuh3NRRN7ZZ6+RTH5r5yX+ICkHY5gn3Th8sQlVCVRPIiCLWQs7Mz7733Hl999RX169fXH9+0aRMxMTHyBVZJHTp04NatW3zxxReoVCokSWLhwoW4urqyc+dOucMzmLW1NU8++ST9+/fHxsaG7OxsduzYwbZt2/QrrarblfU/VthGW5BH8oWjNRBN7Xb210+AsgcVsm9fI/HUvhqLR6h6InkRhFqsbt26+n9fvnyZ0NBQPv30U0JCQoyqpsrHH39McnIyPXr0ACA1NZUnn3yS7t27k5aWJm9wlVCvXj1GjRpFu3btUCqVJCUl3TeRtzA7nTO/fsLO13uxY0p3jnz9Epm3Hm6naID89FSD2uUkGc8eWtVBU5hf8QaYwBUDKgELtZdIXgTBSNja2tK0aVO0Wi27du3i3XffJTw8XO6wDGZvb8/evXvZtWsXTk5OABw4cIA6derw+eefyxyd4VQqFR06dGDkyJH07NkTtfp/GyFe2L2eba90JXZvKHmpCeTfvUPyuXD2fTCY83/NeajrWrl6GtTOrl6zh7qOsSu4m2xQu8JM40mahfuJ5EUQjIS7uzsfffQRr776qn5S288//8yXX36pX6FkDHr37s2dO3d45513UCqVaDQaZsyYgaenJ8eOHZM7PIPZ29tTr149/ePL507z44eTOZuQRYHm/jk917eEcCs87IGv13TUGxW2MbWyw6FRqwe+xqPA3MGw1URmtsZTS0m4n0heBMHIBAYGMn/+fHr37o2JiQlRUVF8/vnnaDQauUMzmFKpZP78+fqtBQBu375N586dGTRoELm5uTJHWHmnVixEoYPE7CIOxmZyMz0f6V+LOS+tXvjA51fbOeH5xJBy27R+ccYDn/9RoTJTY+3uU2G7JkMn1UA0QnURyYsgGCG1Ws3zzz/PZ599RoMGDRgwYIBRFYK7x8PDg5MnTxIaGoqNjQ0Af//9N46Ojvzwww8yR1c5DunX6exlg53aBK0El1PyORqXRXre/5LKvJT4h7qG36Svqf/kWFCWnGdjorbC77V5j9Q2Aw+jzUtfAIoyn7dy98HNr0eNxSNUPVHnRRAeAZIk6avxHjlyhMOHDzN+/HicnZ1ljsxwGo2GV199lcWLF+u3GWjYsCEbN240ij2ftr4cQFF2OjqdjttZhVxJyadI+v/34aimkWPx3Jig5VEPfS1JoyEufBP5d5Owb9gS19ZPPPQ5HzWJp/cT8f07aPNL9uI5NG5H109CRJ2XWkgUqRPJi/CYkiSJt956i7S0NNRqNYMGDWLw4MG1qrR9Ra5du8agQYO4dOkSULzNwNNPP01ISAhmZrX3hnNwxhjuRp/RPy7USlxJzed2ZiF+7la4WJliYm7BwCWn9G0ybl3h4vJ55CTEYGJmjtcTQ2kw8Hmj2haitos/sZPUC8cwUVvR4MmxqB1d5Q5JKINIXkTyIjzGLl26xJIlS7h9+zZQPDQzfvx4WrRowfW0HCLjM8gtKp5QaqIAbwdLOnjZ17ob5u+//87rr79OXl4eAFZWVvz88888++yzMkdWutRLERz6/P7Ysgu1WJsVJ4/1+zyNTc9x2NraErNqDnGlTOA1Mbek+1drsXavX90hC0KtIpIXkbwIjzlJkti8eTObNm3S14PxbNaGxt0HYml9/++FpamSwc3dal0Ck5+fz7PPPsvatWv1x1q1akVYWBje3rVvk79TP75fakICYOHiScAXawldt45bx3Zifu0QDR3UmJrcPzfDRG3FgN+O17rvhyBUJ7E9gCA85pRKJUFBQcydOxd/f3+KtBLhh48Qdy261Pa5RRLHYtNrNkgDqNVqQkNDOX36tD5ZiYyMpEGDBkyePLnWbTPgN3kuLZ6dhpmNo/6Y0tQcrx4j6D1/K0qVCk9PT+6cCycmvYBDsZkkZhfedx5tfg4xu1fVZOiCYFREz4sgPAZ+27SXYydO0mv4GP2x/Lxc1BaW+sdKBYxua1ghNLnMnz+fDz/8kMLC4hu+vb09f/75J4MGDZI5svtJkgSS5r6JodlJMax+pTcXk/PI+//hOydLFb7OFliZ/W9ukl2DlnSftaZGYxYEOYmeF0EQSnBu0LRE4pKdcZc/53/GnnUryM8rXo0h6UBTy3oy/u3dd98lOTmZJ598EoD09HQGDx5MQEAAd+7ckTm6kpRKZakrWopysnC2NKWrlw2NHNUoFZCaq+HIrSwKtf/7/5eKCmoyXEEwKjWSvPz3v/+lfv36qNVqOnXqxPHj5e+MumbNGpo1a4ZaraZVq1Zs2bKlJsIUhEeWQlFyXsWlU8cozMsjKuIIyxfM4uLJI4Bx/DVja2vL9u3b2b9/P66uxStHjh49ioeHBx999JHM0VXMxrMRACZKBQ0d1XStZ4OTpQovO3PMTP73HbCt11SuEAWh1qv2z6pVq1bxzjvvMGPGDE6dOkWbNm3o169fmX8lHT58mDFjxvDiiy9y+vRphg4dytChQzl//nx1hyoIjyx3G/MSj/179qdv8HisbO3Iy8lm7/oVbPx1IfHxD1dErSZ169aNpKQkpk+fjomJCVqtlq+++go3N7daveeTykyNQ+N2+seWpib4e1jT2Ol/eyRlFWhJcu9Idna2HCEKQq1X7XNeOnXqRIcOHfTVMiVJwsvLi9dff51p06bd13706NHk5OSwefNm/bHOnTvTtm1bfv654l1AxZwXQbhfoUZibeT9iUlhfj7Hdm3m/PFw7M1NcLS24Mknn+SZZ56RIcoHd+fOHYYOHcqRI0f0x/r27cu6deuwtraWMbLS5WeksvvNvmgL80p9/pZHZ0ybBKBSqWjfvj2tWrUSK4+ER16tmfNSWFhIREQEffr0+d8FlUr69OlT4kPmn44cOVKiPUC/fv3KbC8IQsXMVEq6N3C6/7hazRODRvLOtE/xa+mLRqMhKytLhggfjqurK4cPHyYsLAx7e3sAdu7ciZOTE/Pnz5c3uFKo7Zzo/Z+dODXvCP8Y0jOzdaL1izMZ8+F83Nzc0Gg0HDt2jLVr1xrV5puCUN2qdTOUlJQUtFotderUKXG8Tp06+uqZ/5aYmFhq+8TExFLbFxQUUFDwv4ltmZmZDxm1IDyaPOwsGN7KgzO300nIykeSdNioTWnrYYeLtSdDu7Zm//79+o0SoXizRFNTU/3cktpu0KBBpKam8tprr/HLL79QWFjIe++9x/fff8+mTZto3bq13CHqqe2c6PrxUiRJIj8tCZWlDWaW/+slCgoK4sqVKxw9epS7d+8SFhZGkyZN6NSpExYWFjJGLgjyM/p+yNmzZ2NnZ6f/8vLykjskQai1zFVKOnk7MrSlB8Nb16VvE1dcrP83H6Z79+4lhll++eUXpk2bxtq1a41m12qlUsmPP/7I9evXadWqFQAxMTG0adOGkSNH6pdZ1xZKpRJLZ/cSics9TZo0YfTo0fj6+gJw5coVrl27VtMhCkKtU63Ji7OzMyYmJiQlJZU4npSUhJubW6mvcXNzq1T76dOnk5GRof+6detW1QQvCI+5zMxMNBoNhYWFrF+/ng8++IBz587JHZbBvL29OXfuHH/++SdWVlYArF27Fnt7e37//XeZozOcubk5TzzxBEOHDqVx48Y0b95c/5yxJJSCUNWqNXkxMzOjffv27N69W39MkiR2795NQEBAqa8JCAgo0R6Kx67Lam9ubo6trW2JL0EQHp6trS2zZs1i7NixWFpakpSUxNy5c1m4cCHp6elyh2ewZ599lrS0NMaMGYNCoSAvL4+JEyfSvHlzo+rFcHV1pWfPnvqJu1qtlnXr1nHo0KFa15skCNWt2oeN3nnnHX799VeWLl1KVFQUkyZNIicnh+effx6AcePGMX36dH37N998k23btjF//nwuXbrEzJkzOXnyJK+99lp1hyoIwr8olUoGDBjA3Llz6dSpEwAnT55k6tSpREeXvtVAbWRmZsby5cuJjIykYcOGAERFRdG4cWMmTpxolD0YsbGxpKenc+HCBVatWmVU3w9BeFjVnryMHj2ab775hk8//ZS2bdty5swZtm3bpp+UGxsbW2IWfZcuXVi+fDmLFi2iTZs2hIaGsmHDBlq2bFndoQqCUAZ7e3t9eQM3NzdsbW3x8fGRO6xKa9GiBVevXuW7777D3NwcnU7H77//jpOTU4nNH42Bj48PgwYNwt7enry8PPbu3UtYWBh3796VOzRBqHZibyNBqCYFGokLiRlkF2qxMDWhZR0bLMyqdYFfjdBoNKSkpOjnoWk0GlatWsWQIUOwtrYmt1DD6dsZJGXlI+nAVq2itYcdbjbqCs5cs3Jzcxk1alSJCt7t27dn06ZNeHh4yBhZ5Wi1WiIjIzl16hQajQalUknr1q3x9/cXtWEEo1KZ+7dIXgShGhyLSeN6Wu59xz3t1DzRwFmGiKrPypUr2bx5MzY2NnTvPxhdvdKXI3s7WNCl/v21ZuR27Ngxhg8frq8urFQqeeutt5g3b55R3fyzsrI4fPgwMTExeHl5MWDAALlDEoRKqTVF6gThcXTi1t1SExeAuIx8wm+k1nBE1atRo0Y4OTmRnpnJD7/8RujP80lOiLuvXczdPC7fqX0F8Dp16sTt27eZOXMmKpUKSZL49ttvcXV1vW/xQG1mY2NDv3796NevH127dtUfz8/PN8rCg4JQHtHzIghVSCNJrDlb8f5AI1p5YKZ6dP52KCwsZPZPS9i9ezeSRoPSREmLDl3p3HcwZur/DReZq5QMb1V7h2TS0tIYNmwYBw4c0B/r3r07GzZs0FfuNTYHDhwgOjoaPz8/WrdujYmJidwhCUKpRM+LIMjkWmqOQe2iamEPxMMwMzOjTe8gRk95H3fvBkhaicijB9m19q8S7Qo0EpIkyRRlxRwdHdm/fz/btm3D0dERgP379+Pi4sKsWbNkjq7yJEkiMzMTrVbLiRMnCA0N5fbt23KHJQgPTSQvglCF8goNuzHnFWmrOZKqkVeo4XhsGvuuJnMsJo3cwrKXFOt0Ohxd3Rj+8lv0HjEWazt7OvYyznkX/fr1Izk5mbfeegulUolGo+GTTz7B09OTEydOyB2ewZRKJYMGDaJXr15YWFiQkZHB33//zZ49e8jNLX1oUxCMgRg2EoQqdDMthyMxFS9Vbethi2+d2v3zeehGKrHp9+96XNdOTbdSJh3vvZpMYtb/9hmTJKnEhNc961ZgZWPNN++8hEplPKuu4uLiGDJkCKdOndIfGzRoEKtWrcLS0lLGyCqnsLCQEydOcPHiRXQ6HaampvTr18+oVlYJjzYxbCQIMqlnb4FSUX4bBdDU5f59bGqTozFppSYuALcz8jlUyqTjtnXtSjz+Z+KSdOsmURFHuHx0L1OnTuX06dNVG3A18vT0JCIiglWrVun3fdq8eTNOTk78+OOPMkdnODMzM7p27cqwYcNwcXHBxMQEJ6fat/pLEAwhel4EoYpFJ2dzMi69zOdbutnQyt2uzOfl9jCTjk/fTufSnexS20efPEjcib364Yr27dszbtw4o7qBajQaJk6cyB9//MG9j87GjRuzceNG/eaJxkCn05GRkVFiEvL58+dp1KgRanXtqscjPD5EnReRvAgyu5qSzanb6Wj/MQVGqYBWbrY0d6vdP5cXkzI5G59ZYbuykrCYtBzOxmeS8//zelRKBQ2dLGnrYUd2djZ//fUXhw8fBkCtVhMUFMSgQYOMqqbK5cuXGTJkCJcvXwZAoVDwzDPPEBISYlRDYvdcv36dXbt2oVar6dSpE02aNEGhqKALURCqmEheRPIi1BLxGXlk5hdhbW6Kh625UdygT8Wlczm59N6Tf2roZEnHeo4PdI2LFy8SEhJCfHw8FhYWzJs3zyiXIi9atIg333yT/Px8AKysrPj1118ZM2aMzJFVTlJSEgcOHNBvLeDm5kZgYKB+xZUg1ASRvIjkRRAe2PW0HI4ZMOnY39Oexg8xd0eSJDZv3oyFhQV9+/bVH8/NzTWqibD5+fmMGTOGDRs26I+1bt2asLAw6tWrJ19glSRJEpGRkURERKDRaFAoFLRq1Yr27dtjamoqd3jCY0BM2BUE4YHVN3DScUOnh0swlEolQUFBJRKX8PBw3n77bXbs2PFQ565JarWa9evXc+LECby8vAA4d+4cPj4+TJkypVbXtfknpVJJmzZtCA4OxsfHB51Ox7lz59i+fbvcoQnCfUTyIghCCUqlEr+69uW2aeNhWy1DYLt37yYnJ4c//viDjz/+mBs3blT5NaqLv78/sbGxzJ49G1NTUyRJ4scff8TZ2bnE5o+1nbW1NX379qV///7Y2trSrl07uUMShPuIYSNBEEp1NSWb07cz0Ej/+4gwUSpo52H3UMNF5dFoNKxdu5Zt27ZRVFSEiYkJ3bp145lnnsHCwqJarlkdMjMzGT58eIm9kbp06cLGjRtxdjaejTn/Xavn/PnzFBQU0LZtW7HNgFDlxJwXkbwIQpVJysonM1+DjVqFm03NLKNNSEhgyZIlXLx4EQA7OzsmTJhAhw4dauT6VWXfvn0EBweTnJwMgEqlYvr06Xz++ecyR1Z5eXl5rFixAo1Gg62tLV27dtUPkwlCVRDJSy1PXvKLNJy+nUlqbgEKFLjbqmntYYvKCFaiCEJNOnz4MMuXLyc9PZ033niDjh07yh1SpUmSxPTp05k/fz5abfHycTc3N0JDQ0vs/mwMrl+/zpEjR8jJKd7Dq0GDBgQEBGBlZSVzZMKjQCQvtTh5uXwni1O3M+47rgC6NXDCw854usYFoSbk5+dz6NAhevfurT928eJFGjVqhJmZmYyRVU5iYiJDhgzh+PHj+mP9+vUjNDRUX7nXGBQVFREREUFkZCQ6nQ6VSoW/vz8tW7Y0ilIAQu0lVhvVUolZ+aUmLgA6YP/11HI3vhOEx5FarS6RuKSkpDB//nymTp1qVJskurm5cezYMTZs2ICdXXFxv+3bt+Pk5MTChQvlDa4STE1N6dy5MyNGjKBOnTpoNBqOHz9OZmbFhQ0FoaqI5KUGnS4jcalsG0F4nMXHx2NmZkZqair/+c9/mDt3rn5OiTEYMmQIaWlpvPTSSygUCgoLC3n77bdp0KAB586dkzs8gzk6OhIUFET37t3x9/cvUWRQoxF/hAnVSwwb1aAVp+MqbGOqVDCyTd0aiEYQjFd2djbLli3j0KFDSJKEmZkZgwYNIigoyKjK89+4cYOgoCDOnz+vPzZq1Cj++usvoxoS+6fU1FT+/vtvOnToQLNmzcQ2A4LBxJwXI05eTJQKgkXyUivlazScisvgdkY+Wp0OMxMlDZ2saOVmU+ZYv0aSSMoqQKcDN1tzMSn7X5KzCziXkEleoQYzlZJmrjbUczC8+N2VK1dYsmQJt27dAqBu3bp8+eWXRpXAACxdupTJkyfrN620sLDgp59+Yvz48TJHVnn79+/X7/nk6upKYGCgUS0PF+QjkpdamrysOXu7RM2M0tiqVQz0dauhiARD3c0tZPuVO5T226JWKRncwq1EYqKRJMKvp5GQlV+irau1Od0bOpWbxOQUariZlouk01HP3gI7C+P8C7w8kiSx52oKyTmF9z1naapkQDO3+3asLu9cW7duZcOGDXTq1ImJEydWdbg1orCwkHHjxrFq1Sr9sRYtWhAWFoaPj4+MkVWOJElcvHiREydOUFRUhEKhoEWLFvj7+xttb5JQM0TyUkuTl1Nxd7mcnFNumy7eDng7imWHtU1FiaezlRl9m7gCxR/eYRcTyS0qvSx8ackOQKFGYvfVZNLzikoctzJV0quxK9bmxtWbUJ7wG6ncSs8r83lbcxUDm1cuiU9PT8fMzEy/L9K1a9e4cuUK/fr1M6pVMOfPn2fIkCFcv34dKN6x+sUXX+SXX34xqveRm5vLkSNHuHbtGgCWlpZ07drVqBIxoWaJ1Ua1VFsPOyxNy/4vd7U2F4lLLRSTllNhj1lKTiEFmuJk5eKd7DITF4B8jcS5+JITszWSRNjFhPsSF4CcIoktUYnkPyKTIDWSVG7iApBZoOFu7v29MuWxt7fXJy6SJLF48WKWLVvGxx9/zNWrVx843prWsmVLrl27xsKFCzE3N0en0/Hbb7/h4ODAxo0b5Q7PYJaWlvTu3ZuBAwdiZ2dHbm6uflhMEB6WSF5qkFKpZHBzN+rZW/DPKWwmCmjqYk3vxi6yxSaULaaCG+09cenFH8zRydkVtr2eWvJD/EJiFoXashMkrQ4ibj0aK9Fuphl2A7tswP9jefz8/DAzMyM2NpbPP/+cRYsW6YurGYM333yTlJQUBgwYABT/VTp06FA6duxIYmKizNEZrm7duowcOZInnniC5s2b64/fvXtXrEoSHtij0w9tJJRKJV19nJAkidwiCaUCLM3Et0Eu+RoNZ25nEpeeh1anw1ylpImzNc1crf/XRW/gwOq9ZgXaincRLvpXT8711IpvqnEZFSdRuYUa8oq02JibGjxnpKYVGvD/A1TY21UepVLJiBEjeOKJJwgJCeHcuXMcOHCA06dPM3r0aHr06PHA565J1tbWbNmyhSNHjjBixAgSEhI4ceIEnp6evPPOO3z99ddGMZRkYmKCr6+v/rFGo2Hbtm3odDq6du2Kt7e3jNEJxqj2/9Q/opRKJdbmKpG4yCg1p5ANkYncSMulSNIh6SCvSOJsQiZhFxPRSMU3WU8Dqx572hXv+2NiwNJQ5b+aGHJDL+9efi0lm3Xn4tl4IZEdV5JZGxnPlqhE7uZVbuilJtSxNmx/JGdL04e+lqurK++//z5vvPEGjo6OZGVl8dtvv7Fv376HPndNCggIID4+nhkzZqBSqdBqtcybNw83Nzf27Nkjd3iVlpWVhU6nIzs7m+3bt7N9+3aysrLkDkswIiJ5ER5LklQ8ObasfCC3SOLg9VQA6jtaYFJBPuJgYYratDgRdbet+Obsam1e4rHpv7OZUpTV5EJiJsdvpd/X45ORr2H7pTuVnjtS3ZyszFBX0CukAJpU4c7VHTt25JtvvmHAgAF4eXkRGBhYZeeuSTNnziQhIUEff3JyMr1796Z3795GVeHWwcGB4OBg2rZti1KpJCYmhjVr1nDmzBkkybCeOeHxJpIX4bF0My0PbQXDEolZBWgkCaVSSY+GzpSVXpgqFfRq9L/5Sn517cpse097T/sSj70NqG1S2o7OhRqJcwll37R0wMHrKRWeu6YF+jiV+3wHL/sqHw4xMzNj7NixJerAFBYW8tlnn3H06NEqvVZ1cnZ25uDBg2zZsgUHBwcA9uzZg7OzM19//bXM0RlOpVLRsWNHRowYgbu7u36bgdDQUAoKCuQOT6jlRPIiPJZi0g2bNJqQUVynxdVGzaDmbnjYqvU9ICqlgoZOlgxt5V5ifomlmYpejZxL7SlRKKB7Ayds1SWHRFq525Xbu6MA/L3s7zt+PrHiv7ZziiSyC2rXxEgXa3P6N3XFTl1y2NTSVMkTPk40dK6+jQr/mRRt2LCB6OhofvjhB2bPnm1UE2EHDBhASkoKr7/+OkqlkqKiIqZPn069evU4efKk3OEZzMHBgcGDB9OzZ08sLCyws7PD3Ny84hcKjzVR50V4LO2JTiYpu+K/7h6m7o4kSUSn5hCXno9Op8PDTk0zF+syexRyCjXsvHyHPE3JbnMzEwU9GrngZHl/ga/d0cncMeB9dPZ2wKeWLsPXSBI5BRosTFU1Psk4NzeXFStWsH//fiRJwtTUlAEDBjB8+HCjqtIbFxfH4MGDOXPmjP7YkCFDWLlyJWq1YXOMaoOCggK0Wq1+yXteXh43btzA19dXbDPwGBBF6kTyIlTgUlImp+Mr7rUY0cqjUjfUe+P1DzPkkZxdwPXUHHRAPXsLPMqZMHzgWgq3M/PLfP6e7g2cMFcpOX07g8z84qqndWzMaedhh4WYNM61a9dYvHgxMTExQPFE3/Hjx9OmTRuZI6ucVatWMXHiRLKzi5eZq9VqFi5cyCuvvCJzZA9m3759XLlyBWdnZwIDA3F1dZU7JKEaieRFJC9CBSRJYs25+HJX8DhZmvFkU8M+LC8lZXIxKYuC/6/VYqKA+o6W+HtW/dyNf7qTlc/uq+XPaVEooIGDJdfKqK9SVVWdJUnielouV5KzKdLqsDA1oaWbTbnJV22i0+nYvn0769atIzc3l6ZNm/LJJ5/IHValaTQaXnzxRf7880/ufbw3adKETZs20bRpU5mjq5yLFy9y/PhxCguLJ537+vrSsWNHMaz0iBLJi0heBAPEZ+Sx//9XFP2bmYmCwc3dDep1OXQzldi7pddgsTYzYaBvnWpNYDadjyennIq+rtbmFQ4tDWnh9lDL9gs096oA3x+Ho6UpfRu7GEU9EoCMjAyWLVtGUFAQnp6eAOTn52NmZmY07wHg8uXLBAUFceXKFaB4m4HnnnuO33//3aiGxPLy8jh27Jj+fajVajp37kyTJk1kjkyoamJ7AEGogCRJ5BRqsTQ1ua/acUNHS4a0NCxxSczKLzNxAcgu1HLGgOGph9G/mRsWZWw74WmnJrvg/i0H/u10/MNV791+OanUxAUgLbeI8JtpD3X+mmRnZ8fkyZP1iQvAokWL+PDDD/W7JRuDpk2bcvnyZX788UfUajU6nY4//vgDBwcHVq9eLXd4BrOwsKBHjx4MHjwYBwcH8vPz2bdvH+fOnZM7NEFGInkRHjua/9848WRcOrlF2hK1XhQKBS3dbcvd9fmfzhpw079mQPXch2GmUjK0pQeB9R1xtjLDTq3Cw1bNU81ceaKBc7n7LN2TlPngS1NTcwrIKdSW2+Z2Rr6+6J+xSU9P59y5c8TFxTFr1ix++ukn/ZwSYzBp0iTu3r3LkCFDAMjOzmb06NH4+fkRFxcnc3SGc3d3Z8SIEXTq1AlbW1uaNWsmd0iCjETyIjx29l1NKfOGrpF07Lhyx+BzZeVXvAT5YcrcV4aXgyV9m7jylK8b3Rs6Y2dx/+qksugM3QOhFIbuQWTonka1jb29PV9//TXt2rVDp9Nx6NAh3nvvPXbt2iV3aAZTq9Vs2LCBEydO4OXlBcDp06fx9vbmzTffNJrCcEqlkjZt2hAcHIyZ2f9+vvfu3cuNGzdkjEyoaSJ5ER4r+RoNyTnlV5zNK5K4k1XxCh4ongxb26kMqN7777ozlVFRsb97NAbuaVQbOTs78+677/L222/j4uJCdnY2ISEhfPrpp0ZVG8bf35/Y2Fi++uorTE1NkSSJ7777DhcXF7Zv3y53eAb759yj69evEx0dzc6dO9m6datRVRoWHpxIXoTHSkyaYTtEX0s1rJegtKq3/2ZtZmLQuapLQ6eKq/e29bB74PO7WBnWw1PHgG0Tarv27dszd+5cBg0ahKmpKYmJifqaJMZk+vTp3Llzh549ewKQlpZG//79eeKJJ0hLM575SQD16tXDz88PpVLJrVu3WLNmDadOnUKrLX8oUzBu1ZK83Lx5kxdffBEfHx8sLCxo2LAhM2bM0C93K0uPHj1QKBQlvl599dXqCFF4TGkNXFwnGdiuXd2Kb/qt3eVd9dbWww4b87ITqAaOlrhYP/jS0yYu1hVuh2BpqsShEsNYtZmpqSlPP/00X375JS+//HKJVRFnz56VMbLKsbe3Z8+ePezevRtnZ2cAwsPDqVOnDp999pnM0RlOpVLh7+/PyJEjqVu3LlqtlpMnTxIaGmpUc3qEyqmW5OXSpUtIksQvv/zChQsXWLBgAT///DMffvhhha996aWXSEhI0H/NnTu3OkIUHlN1Dfzr393OsHaWZioC6zuW+XwzV+sqqaHyMJRKJU81q0MTF6sSQ0gWpko6eNnTybvs+A09f2dvhzKfVwDdGjg/1DVqIw8PD/z9/fWP9+3bx7x58/jyyy+Jj4+XMbLK6dWrF0lJSUydOhUTExM0Gg0zZ87Ew8ODI0eOyB2ewezt7Rk4cCC9e/fG0tKSjIwMjhw5wiNWDUT4fzVW52XevHn89NNPXL9+vcw2PXr0oG3btixcuPCBryPqvAgVqaguiokCgtt6lvl8afI1Gs7eziQxqwCdToe9hSnt6tpVatKssUvIzOPkrXSy/7HyyMnSlM7ejg81p8ZYhIaGEhYWhlarxdTUlL59+zJq1ChMTY3nvScmJhIUFMSJEyf0xwYMGEBoaKhRDY8VFhYSERFB/fr1cXd3B6qm+rVQvWplkbqPP/6Ybdu2lbthWI8ePbhw4QI6nQ43NzcGDx7MJ598Uu4vTUFBQYkdSDMzM/Hy8hLJi1CmrHwNWy4lllldt0dDJ9xtjaMqrCEK/7/+Sk3tGyRJEoVaCTMT5WN3o7h58yaLFy/W/5Hm7OzMc889R/v27WWOrHLWr1/PhAkT9JNfzc3NmTdvHq+//rrMkT24M2fOcPXqVQIDA3Fzc5M7HKEUtS55uXr1Ku3bt+ebb77hpZdeKrPdokWL8Pb2xsPDg3PnzvHBBx/QsWNH1q1bV+ZrZs6cWer4rEhehPLkFmo4cSudhMx8/SJhZysz/D3tcShlA0RjI0kSZ+IzuZqazb1FPiYK8HGyon1du8cuqahpu3fvZs2aNfp6MH369GHChAnyBlVJkiTxyiuv8Pvvv+uHXho0aMCmTZto0aKFzNFVjiRJrFy5Uv/9aNq0KZ06dTKqTSsfB9WWvEybNo05c+aU2yYqKqpE8aDbt2/TvXt3evTowW+//WbopQDYs2cPvXv35urVqzRs2LDUNqLnRRDut/PKHVLKWBJur1bRr6mrSGCqWXZ2Nn/99ReHDx/mzTffNLrel3uuXbtGUFAQFy9eBIoLOY4ePZqlS5eWqLVS2+Xn53P8+HEuXboEFPcmderUiaZNm4odq2uJaktekpOTSU0tfS+Yexo0aKD/gY6Pj6dHjx507tyZkJCQSn9Y5uTkYG1tzbZt2+jXr59BrxFzXgRjkJpbyOm4dFJzC9EBliolLdxsaehs/dDnjk7O5mRcerlt2njY0ryO+P2oCbdv36Zu3br6x7t378bNzc3oei+WLFnClClTyMsrLjdgZWXFzz//zLPPPitzZJWTlJTEwYMH9UvCXV1d6dGjB/b29vIGJtSOYaPbt2/Ts2dP2rdvz19//YWJSeVrXRw6dIjAwEDOnj1L69atDXqNSF6E2q685KKOtTm9Grs81Pk3no+vcEsAtUrJsFYeD3UdofKSkpKYPn06hYWFdOrUiXHjxmFn9+A1dmpaYWEhY8eOJTQ0VH+sVatWhIWF4e3tLWNklSNJEhcuXODkyZNotVpGjRplVN+HR5XsGzPevn2bHj16UK9ePb755huSk5NJTEwsUYny9u3bNGvWjOPHjwPFXZNffPEFERER3Lx5k02bNjFu3Di6detmcOIiCLVdTqGm3F6RpOwCzj3kJol5ZWyQ+E8FBrSRS1a+hpO37nLkZirRydlGU7reEObm5vrPs2PHjjF16lS2bdtmNMt5zczMWLNmDWfPnqV+/foAREZG4uPjw6RJk4zme6VUKmnVqhXBwcH06tWrROKSkpIiY2SCoaql5yUkJITnn3++1OfuXe7mzZv4+Piwd+9eevTowa1bt3j22Wc5f/48OTk5eHl5MWzYMD7++ONK9aCInhehNgu/kcqt9PKr/JoqFYxsU7fcNuVZfSYObQW/1QoFPF3J5eDVTSNJ7LqSzN28krtgKxXQsZ4DPjLXy6lKZ8+e5Y8//iApKQkAb29vXnjhhTLn9tVW3377rb4nCYp35P7jjz8ICgqSObIHk5yczPr166lbty6BgYGiN6aG1YphI7mI5EWozTacjyfPgF2eR7fxeOAJtbujk7mTXf4u0c5WZvRt4vpA568umy8mkFVQdkn3bg2cqGv36Cxh12g0rF+/ni1btlBUVISpqSkLFiwwurkX2dnZjBgxgh07duiPde7cmY0bN+LqWrt+xipy5coVDh48iFarRalU0rZtW9q2bYtKpZI7tMeC7MNGgiCUoQb+VPDzrPivRUO2NahJ8Rl55SYuACdv3a2haGqGSqVi1KhRzJ49m5YtW9KtWzejS1wArK2t2b59OwcPHtTXTzl69CgeHh58+OGHRjOUBNCkSRNGjRqFl5cXkiRx6tQp1qxZQ2xsrNyhCf8ikhdBqEFOBmxiaKpUPNQyZgcLMzrVK7tcv7+nPc5WD76XUXW4kJRVYZvcIqlWz9V5UG5ubkybNo3x48frj12+fJkvvviCW7duyRhZ5QQGBpKQkMCHH36IiYkJWq2W2bNn4+7uzoEDB+QOz2C2trYMGDCAvn37YmVlRVZWFtu2bTOq9/A4EMmLINSgdnXtK2zTqAqWSzdwsmJYKzd8HC2xMjPByswEbwcLhrV0o7HLw5+/qhUamJTkFmqqORL5/DNh/euvv7h8+TIff/wxf/75Z4laVrXdl19+SWJiIgEBAQDcuXOH7t2707dvX33FXmPg4+NDcHAwbdq0QalUGt0Q2KNOzHkRhBoWlZTJmfjSP8Rr41yUmmDIPB2AEa08amybAznFxsayZMkSoqOjAXB0dOTZZ5+lY8eOMkdWOZs3b+a5554jPT0dKF6tNGvWLKZOnSpvYJV0735yr5jd7du3USgUeHiIcgNVSUzYFcmLUMslZxdw+nYGaXmFoAO1qRJfVxuautrIHZoskrML2BWdXG4bazMTBrdwr6GIaod9+/axatUqsrKKh9VatWrFhAkTqFOnjsyRGU6SJF5//XV+/vln/fwXb29vNmzYQNu2beUN7gFoNBpWr15NdnY2jRs3pnPnzlhYPDoTyeUkkheRvAiC0dlx+Q6puaVvaQDQp7ELLta1a65OTcjJyWH58uUcPHgQSZIIDg42yqXIsbGxDB48mHPnzumPDR8+nGXLlhnVHkOFhYUcP35cv12CmZkZHTt2xNfXV2wz8JBE8iKSF0EwOpIkEX4jjduZ+SWOm5ko6OrjhJuN8dzgqsPVq1fZtm0bkydP1s+Pyc3NxdLSUubIKmfZsmW88sor5OTkAGBhYcF3333HxIkTZY6scu7cuUN4eLi+qJ2LiwuBgYG4uDxchezHmUheRPIiCEarUCNxPTWbQq2OOjbm1HmApCU1p4CTt9JJ+/+CdwrA3VZNp3r2qE0fjZod+fn5TJ06lYYNGzJhwgSjWmat0WgYP348K1as0BcubdasGZs2baJx48YyR2c4nU7HxYsXOXHihL5QX3BwsFF9L2oTkbyI5EUQHlu30vMIv1H6BrJKBQxq7oaVmfEnMOHh4fz8889Ace/F0KFDGTBggFHtFn7hwgWGDh3K1atXgeIdqydMmMCiRYuMqjBcbm4ux44dQ6vV0qdPH7nDMVoieRHJiyA8liRJYs25eKRyPtVszE0Y1PzRmPh7/vx5li5dSkJCAgBeXl5MmDCBpk2byhxZ5fzwww+89957+iXhNjY2LF68mJEjR8ocWeVIklRiSO/AgQN06tQJB4ey6y4J/yOSF5G8CMJj6fKdLE7drnhjy6AWj0bvCxQPwWzatInNmzdTWFiIUqmkS5cuTJw40eh6L0aPHs3mzZv1x9q3b8+mTZuMcknyvn37uHLlCkqlktatW+Pn52dU3w85iO0BBEF4LCVmGVbMLT4jv+JGRkKlUjF8+HDmzJlDmzZtkCSJtLQ0o7tRWlpaEhYWxvHjx6lbt3hj0oiICLy8vHjnnXeMapsBKE686tevjyRJnDlzhtWrV3Pz5k25w3pkiJ4XQRAeGQevpxBnQGLSyduBBo/QLtX/dPLkSTw9PfX7DKWlpZGVlYW3t7fMkVXO559/zhdffIFGU1xV2cnJiVWrVtG7d2+ZI6ucmJgYDh8+rK/VU69ePbp06SLuT6UQPS+CIDyWGjoZlpDUs390i4r5+/vrExeApUuX8umnnxISEkJ+vvH0OH366ackJSXRvXt3AFJTU+nTpw89evTQV+w1Bt7e3owaNYp27dqhVCqJjY3V14gRHpxIXgRBeGR42FlgXsH2Ae42alRGtCLnYWg0GnJyctBqtezatYv33nuPw4cPyx2WwRwdHdm3bx87duzAyckJgP379+Pi4sKsWbNkjs5wKpWKDh06MHLkSBo1akT79u31z93rWRIqRwwbCYLwSMku0LDlUiLaUqZI2Jib8FSzOka1nLgqhIeHs2LFCjIyiiczN2/enOeffx53d+NZdSVJElOnTmXhwoX6+S9169Zl/fr1dOjQQeboHtymTZuwsrIiICDA6AoOVjWx2kgkL4LwWNNIEhcTs7iRlkuRVsLC1ATfOjY0MHBY6VGUl5fHihUr2L9/P1qtFlNTUyZPnmx0N/74+HiCgoKIiIjQHxs0aBCrVq0yupv/nTt32LhxIzqdDlNTUzp06EDz5s0fu+T6HpG8iOTlkXHvJpSQmY+O4i7/Fu42j023vyBUtRs3brB48WKSk5P55ptvsLa2ljukBxIaGsoLL7ygnwirVquZP38+kydPljmyyklJSSE8PJw7d+4AxROTn3jiCVxdH7/d5UXyIpKXR8LtjDwOXk/l3z+gCqCrjxNej/CkS0GobgkJCSWGjVauXEnfvn31c0uMgUaj4eWXXyYkJES/zUDjxo3ZuHEjvr6+MkdnOJ1Ox6VLlzh+/Li+UF+zZs0ICAjA1NRU5uhqjlhtJBi9zPwiDpSSuADogPAbqWTklb0DsSAI5ftn4rJ79242b97MBx98wIYNG4ympopKpWLx4sVcvnyZZs2aARAdHU2LFi149tlnjWYyrEKhwNfXl9GjR+urI9+5cwcTExOZI6u9RPIi1Eqn4iqukmpIJVVBECrm6elJ3bp1yc/PJzQ0lGnTphnVct7GjRsTFRXFr7/+ioWFBTqdjmXLlmFvb8+yZcvkDs9garWa7t27ExQURPfu3fVzX7RaLWlpaTJHV7uIYSOhVlp9Jg5tBT+ZSgWMbutZMwEJwiNOkiQ2b97Mpk2b9PVgAgICeO6554zqszQ/P5+xY8eybt06/bHWrVsTFhZGvXr1ZIzswZ06dYqIiAhatmyJv7//IzuUJIaNBKNX3sZ69zxaabcgyEupVBIUFMTcuXP1dUiOHDnCN998I3NklaNWq1m7di0RERH6ZOXcuXP4+PgwefJkoxkS+6eMjAx0Oh2RkZGsWrWK69evyx2S7ETyItRKFRUaAzAzET++glDVHB0defvtt3n33XdxdXU1up2d7/Hz8yMmJoY5c+ZgamqKJEn89NNPODk5ldj80Rj07NmTAQMGYGtrS25uLrt27WLLli36uj2PIzFsJNRKFxIzOZeQWW6bFm42tHa3q6GIBOHxI0lSiZoja9asITMzk2eeeQYLC+NZ7ZeZmcnw4cPZvXu3/lhAQACbNm3C2dlZxsgqR6vVcubMGc6cOYNWq0WpVNKjRw8aNWokd2hVQgwbCUbP19Uaa7OyZ9pbmZrQso5NDUYkCI+ffyYuaWlpbNmyhb179/Lee+9x8OBBGSOrHFtbW3bt2sX+/fv19VOOHDmCm5sbH330kczRGc7ExIT27dszcuRIPD09USgUj2U9GBA9L0ItJkkSh2PuEpeep18yrQDq2qnpWt/xsa1CKQhyOXLkCMuXL+fu3bsANG3alOeffx5PT+OZOC9JEh9//DFz585Fq9UC4Obmxpo1awgMDJQ5uspJT0/H3t5e/zgqKgovLy+jLTwoitSJ5OWRIkkSd/OK0AGOFqYiaREEGeXn57Nq1Sr27NmDVqtFpVLRt29fRo0ahZmZmdzhGezOnTsEBQVx7Ngx/bEnn3yStWvXGuXNPykpiY0bN6JSqfD396dly5ZG91kpho2ER4pSqcTJyhxnK3Oj+2UUhEeNWq1m/PjxfP755zRq1AiNRsOOHTtITEyUO7RKcXV15ejRo2zcuBE7u+K5c/d2r54/f77M0VWemZkZbm5uaDQajh49ytq1a43ue1IZoudFEARBeGB79uzh7t27jBgxQn8sNzfXqDZJlCSJKVOm8Msvv+i3GfD29mbTpk20bt1a5ugMp9PpiI6O5ujRo/paPU2aNKFz586o1WqZo6uYGDYSyYsgCIIsLl68yLfffsuAAQMYMmQIKpVK7pAMFhMTw6BBgzh//rz+2MiRI1m2bJlRDYnl5+dz4sQJoqKiALCzsyM4OBiFQiFzZOUTw0aCIAiCLHbv3k1+fj7r169n2rRpREZGyh2Swby9vYmMjGTp0qX6nqPQ0FDs7e35/fffZY7OcGq1mieeeIKhQ4fi5OREu3btan3iUlmi50UQBEGoMpIksXXrVjZs2EBeXh4AHTt2ZNy4cSVWxtR2hYWFjB8/npUrV+qP+fr6EhYWRsOGDWWMrHL+Xavn+vXrJCQk0KFDh1rXmySGjUTyIgiCIKv09HT++OMPjh8/DoClpSWjR4+md+/eMkdWOefPn2fIkCH6kvwKhYIXXniBRYsWGd0CAq1Wy8qVK8nJycHCwoKAgIBaVeBODBsJgiAIsrK3t+eNN97ggw8+oE6dOuTm5lJQUCB3WJXWsmVLrl27xsKFCzE3N0en0/H777/j4ODA2rVr5Q6vUkxMTOjRowf29vbk5eWxZ88eNm/eTHp6utyhVZroeREEQRCqlUajYe/evfTu3VvfWxEdHY27u7tR1VTJzs4mODiYrVu36o/5+/sTFhaGm5ubjJFVjlar5dy5c5w6dUq/zUDr1q3x8/OTdYK16HkRBEEQao17hezuJS55eXksXLiQqVOnsnfvXpmjM5y1tTVbtmzh8OHDuLu7A3Dy5Ek8PT2ZOnWq0exYbWJiQrt27QgODqZevXpIksSZM2e4c+eO3KEZTCQvgvB/7d17UFTnwQbwZ5erKBKDAjIgiEmgEREFwWDHoDAKLSFUYhNj5KLFqmgCmCCaKNhAxEJGM1gNdgRRUYwUIbYah0gw2mChIk1QoUXUIjcBCTfLdfn+YLJfiIaAYXk5y/Ob2T/27Fn28XjZx3Pe875ENKLu378PTU1NtLS04NChQ4iKisLdu3dFxxq0F154AVVVVYiMjISmpiZ6enoQHx8PY2Nj5OTkiI43aPr6+vDw8MCSJUtgZ2cHU1NT5Wvd3d0Ck/00lZUXS0tLyGSyfo/Y2NgB39Pe3o7g4GAYGhpiwoQJ8PX1RW1traoiEhGRABYWFoiLi4Onpyc0NTVRVlaGHTt24MiRI8rJ1aQgKioK1dXVyjWR6uvr4ebmhsWLF0tqHImlpSXmz5+vfN7W1oYTJ07g2rVro/ZsksrGvFhaWmLNmjUICgpSbtPX18f48eN/9D3r16/H3/72Nxw+fBgGBgbYuHEj5HI5/v73vw/6cznmhYhIOu7du4ekpCT8+9//BgBMmjQJMTExkvv3+9y5c3jjjTfw4MEDAICWlhZ27tyJrVu3Ck42dIWFhfjnP/8JoG/g9S9/+ct+Z2VUZVTcKm1paYmQkBCEhIQMav+mpiZMmTIFx48fxyuvvAIAKCkpwS9+8Qvk5eX1a4UDYXkhIpKeS5cuIS0tDRYWFggPDxcd54koFAqEhoZi3759yjMWZmZmOH36NBwdHQWnG5qysjLk5eUp5+p55plnMH/+fJUu+zBqykt7ezu6urowbdo0vP766wgNDf3Rkcw5OTlwc3NDY2Njv4mMLCwsEBISgtDQ0Me+r6Ojo9/td83NzTA3N2d5ISKSmIcPH6Kzs1P5HVBfX4/c3Fz4+PhIapmBe/fuwdvbG9euXVNue/nll5GWliaJNYa+09nZiYKCAly/fh1A3+KPTk5OeP7551XyeaPibqM333wTaWlp+OKLL/D73/8eH3zwwYBtuqamBtra2o/MwGhsbDzgypi7du2CgYGB8mFubj5cvwQiIhpBenp6/b4DkpOTkZmZiXfeeadfERjtzMzMUFhYiLS0NOWt4FlZWZg0aRIOHDggON3gaWtrY8GCBVi2bBmmTJmCzs5OtLa2io4FYIjlJSIi4pFBuD98lJSUAADCwsLg6uoKOzs7rFu3Dh9++CESEhKGfZKirVu3oqmpSfmoqKgY1p9PRERi2NnZQU9PD3V1dfjwww+xZ88e5ZgSKXj11VfR2NgIf39/yGQytLe3Y8OGDXjuuedQWloqOt6gTZ48GT4+PnjxxRcxd+5c0XEADPGyUV1dHRoaGgbcx8rK6rHrJVy/fh22trYoKSmBtbX1I68/6WWjH+KYFyIi9dHc3IyjR48iLy8PQN+ig97e3vDy8pLU9PylpaXw9vZWDkyWyWRYtWoVDh06JKlLYqo0Ksa8/FBqair8/PxQX1+PSZMmPfL6dwN2T5w4AV9fXwB9v9k2NjYcsEtENMbduHEDhw8fRlVVFQDAx8dHeXOHlCQmJiIkJER5S/iECRNw8OBBrFixQnAy8YSXl7y8PPzjH//AokWLoK+vj7y8PISGhsLT0xMpKSkAgMrKSri5ueHIkSNwcnIC0Her9NmzZ3H48GFMnDgRmzZtAgB89dVXg/5slhciIvWkUCjw17/+Fbm5uYiOjlbpnS+q1N7ejhUrViAzM1O5zd7eHmfOnIGZmZm4YIIJH7Cro6ODtLQ0vPjii5g5cyZiYmIQGhqKgwcPKvfp6upCaWkpHj58qNy2Z88eeHl5wdfXFwsXLoSJiQkyMjJUEZGIiCRGLpfD29sb8fHxyuKiUCiwa9cuZGdnC043eLq6ujh9+jQKCgqUN5kUFRXBwsICb7755qidGG404cKMREQkWTk5OUhKSgLQN+Zy9erVsLS0FBtqiGJjY7Fjxw50dXUB6JuoLzU1FZ6enoKTjSzhl41EYnkhIho7uru7kZ6ejvPnz6OrqwsaGhpwdXXFihUrJDWnyrfffgtfX99+ayMtWLAAmZmZmDx5ssBkI4flheWFiGhMqa6uRnJyMm7cuAEAMDAwwIoVK5TrDklFTk4OXnvtNdTV1QHoW5H73XffRVRUlNhgI0D4mBciIqKRNHXqVGzbtg3r16/HU089haamJmRlZUlu/MjixYtRU1OD8PBwaGhooLu7Gzt37oSpqanydnHimRciIlIz7e3tSEtLg6OjI2xtbQH0TXUP4LHzkI1WNTU18Pb2RkFBgXKbh4cHTp06pZy5V53wzAsREY1Zurq6CAgIUBYXADh16hTCw8OVqyVLgYmJCfLz85GZmQkDAwMAwGeffQZDQ0Ps3btXbDjBWF6IiEitdXd348qVK6ivr8fevXsRHx+P+vp60bEG7eWXX8aDBw8QFBQEmUyGzs5OhIaGwsrKCsXFxaLjCcHLRkREpPZaW1tx7NgxfPXVV1AoFNDR0YGXlxdeeuklSU3Pf/v2bbz00kvKlZ6BvjWUjhw5IqlLYo/Du41YXoiI6DFKS0uRnJyMe/fuAegb6Ltu3TrMmDFDcLKhSUlJwYYNG5QTverp6WH//v3w9/cXnOzJccwLERHRY1hbW+ODDz7Aa6+9Bl1dXdTV1UFHR0d0rCHz9/dHY2Mjli9fDgB4+PChcpzP7du3BadTPZ55ISKiMamxsRE3b96Ei4uLctu//vUvzJo1S1IrVhcXF8Pb21tZWmQyGdauXYv9+/dL6tfBMy9EREQ/YdKkSf2KyzfffIO4uDhs374dt27dEphsaGxtbVFeXo49e/ZAW1sbvb29SExMxNNPP42srCzR8VSC5YWIiAhAbW0ttLS0cPfuXezcuRN//vOf+y0ePNqFhISgoaEBHh4eAICmpib4+PjA2dkZNTU1gtMNL5YXIiIiAO7u7oiNjcWsWbOgUChw8eJFbN68Gbm5uaKjDdqECRNw7tw5XL58GSYmJgCA/Px8mJmZYcuWLZKbcfjHcMwLERHRD1y5cgXHjx/HgwcPAABz5szB5s2bBacauu3btyM2Nhbd3d0AACMjI5w8eRKurq5igz0Gx7wQERH9DPPnz0dcXByWLl0KDQ2NfrP1Ssn777+P6upq5die+/fvY9GiRXB3d0dzc7PgdE+OZ16IiIgGUF1djalTpyqfX7lyBUBfwZGSc+fOYeXKlWhsbAQAaGlpITo6GuHh4YKT9eGZFyIiomHy/eLS2tqKlJQU7Nu3D7t370Ztba3AZEPj6emJ+vp6bNy4EXK5HF1dXdiyZQumTZuGwsJC0fGGhOWFiIhokDQ0NODg4AC5XI5vvvkGEREROHXqlHJMyWgnl8uRkJCA27dvY/bs2QCAiooKODg4YNmyZWhvbxeccHB42YiIiGiIbt26haSkJNy9excAYGxsDH9/f9jZ2QlONjQnTpxAUFAQ2traAPStyP3RRx9h7dq1I56FaxuxvBARkYr19vbi/PnzyMjIUM4HExMTAwsLC8HJhqa7uxurV6/GsWPH8F0lsLa2xpkzZ/Dss8+OWA6OeSEiIlIxmUwGDw8PxMXFwdnZGXPmzJFccQEATU1NHDlyBNevX1eWldLSUlhbWyMwMHBUXhLjmRciIqJhoFAolGsJ1dbWYv/+/Xj99ddhbW0tONnQHDhwAGFhYcrxL/r6+khKSsIrr7yi0s/lmRciIqIR9v1FEFNTU3Hr1i3ExMTg448/Rmtrq8BkQ7N+/Xo0NDTA29sbANDS0oLly5fDwcEBVVVVgtP1YXkhIiIaZn5+frC3t4dCocDly5fx9ttv48KFC6JjDZqenh6ysrKUSwsAQGFhIczNzREaGip8mQFeNiIiIlKRq1ev4ujRo6ivrwcAWFlZYc2aNZIbGxMdHY2dO3cqx79MnjwZFRUV0NXVHbbP4GUjIiKiUcDBwQF//OMf4eXlBS0tLZSXlyMnJ0d0rCF77733UFdXp1wTycjIaFiLy1DxzAsREdEIqKqqQnp6OtauXav84m9ra8P48eMFJxuaCxcuwMrKCtOnTx/Wn8t5XlheiIholFMoFHj33Xehr6+PwMDAfssQjEW8bERERDTK3bx5E1VVVbhx4wa2bduGtLQ0dHV1iY4lCTzzQkREJMidO3eQlJSE8vJyAMCUKVOwatUqzJ07V3CykcfLRiwvREQkIZ9//jnS09OV88HMmTMH69evh56enuBkI4eXjYiIiCTE3d0dcXFxcHFxgUwmw/3794XezTPaaYoOQERERH3T8G/YsAGLFy+Gpqamcsbe9vZ2lJeX4/nnnxeccPRgeSEiIhpFbGxs+j0/efIksrOz8cILL2DVqlUcEgFeNiIiIhrVmpubAQB5eXl4++23cf78eajZcNUh44BdIiKiUa6oqAgpKSmoq6sDAFhYWGD16tWYMWOG4GTDh3cbsbwQEZGa6e7uxunTp3H27Fl0dXVBLpdj5cqVWLp0qehow4J3GxEREakZTU1NLF++HLt27cLMmTOhoaGB2bNni44lBM+8EBERSVBVVRVMTU2VzzMyMuDk5AQzMzOBqZ6c8DMvubm5kMlkj30UFBT86PtcXV0f2X/dunWqiEhERCRp3y8uRUVFyMjIwHvvvYfU1FR0dnYKTKZ6KrlV2sXFBdXV1f22bd++HRcuXICjo+OA7w0KCsIf/vAH5fOxNLsgERHRkzA0NMQzzzyDsrIynDt3Dvn5+XjjjTcwb9480dFUQiXlRVtbGyYmJsrnXV1dyMrKwqZNmyCTyQZ8r56eXr/3EhER0cDMzc0RFRWFL774Ap988gkaGhrw0Ucfwc7ODgEBATAyMhIdcViNyIDdTz/9FA0NDQgMDPzJfVNTUzF58mTY2tpi69atePjw4YD7d3R0oLm5ud+DiIhoLFq0aBHi4uKwcOFCyOVyfP3114iJiYFCoRAdbViNyIDdX/3qVwCAs2fPDrjfwYMHYWFhAVNTU3z99dfYsmULnJyckJGR8aPviYqKws6dOx/ZzgG7REQ0lv3nP/9BUlIS3N3d4ebmJjrOT1LZPC8RERHYvXv3gPvcvHmz39TG9+7dg4WFBT755BP4+voO9qMAADk5OXBzc0NZWdmPTsTT0dGBjo4O5fPm5maYm5uzvBAR0ZinUCiUayQBwIULF1BcXAx/f3889dRT4oI9xlDKy5DGvGzevBkBAQED7mNlZdXveXJyMgwNDeHt7T2UjwIAODs7A8CA5UVHRwc6OjpD/tlERETq7vvFpbOzE+np6WhpaUFxcTF8fHzg6enZbx+pGFJ5mTJlCqZMmTLo/Xt7e5GcnAw/Pz9oaWkNOVxRUREAYOrUqUN+LxEREf0/bW1tbNiwASkpKaipqcGJEydw+fJlBAYG4rnnnhMdb0hUWrdycnJw+/Zt/O53v3vktcrKStjY2CA/Px8AcOvWLbz//vu4evUq7ty5g08//RR+fn5YuHAh7OzsVBmTiIhoTJg1axZiY2OxbNkyaGtro6KiAtHR0UhMTERra6voeIOm0vJy6NAhuLi4PLK8N9B3+3RpaanybiJtbW18/vnnWLJkCWxsbLB582b4+vrizJkzqoxIREQ0pmhqamLZsmXYvXs37OzsoFAocOnSJZSXl4uONmhcHoCIiGgMKygowM2bN+Hn56fc1tbWhvHjx49oDuHLAxAREZE0zJs3r19xqa6uxltvvYWUlBS0t7cLTPbjWF6IiIhIKTc3F+3t7cjOzsY777yDvLw80ZEewctGRERE1M+lS5eQlpaGpqYmAMDMmTMRGBio0uV7VDZJnRSwvBAREf18//vf/3D8+HF8+eWX6OnpgZaWFry8vIY84exgccwLERER/Szjxo3DmjVrEBkZCUtLS3R1daGtrU10LAA880JERESDkJOTAxcXF+jq6qrk56tseQAiIiIamxYvXiw6ghIvGxEREZGksLwQERGRpLC8EBERkaSwvBAREZGksLwQERGRpLC8EBERkaSwvBAREZGksLwQERGRpLC8EBERkaSwvBAREZGksLwQERGRpLC8EBERkaSwvBAREZGksLwQERGRpGiKDjDcent7AQDNzc2CkxAREdFgffe9/d33+EDUrry0tLQAAMzNzQUnISIioqFqaWmBgYHBgPvIegdTcSREoVCgqqoK+vr6kMlkouMI19zcDHNzc1RUVGDixImi46gtHueRweM8MnicRw6P9f/r7e1FS0sLTE1NIZcPPKpF7c68yOVymJmZiY4x6kycOHHM/8UYCTzOI4PHeWTwOI8cHus+P3XG5TscsEtERESSwvJCREREksLyouZ0dHQQGRkJHR0d0VHUGo/zyOBxHhk8ziOHx/rJqN2AXSIiIlJvPPNCREREksLyQkRERJLC8kJERESSwvJCREREksLyMgZ1dHTA3t4eMpkMRUVFouOolTt37mDNmjWYPn06xo0bhxkzZiAyMhKdnZ2io6mFP/3pT7C0tISuri6cnZ2Rn58vOpJa2bVrF+bNmwd9fX0YGRnBx8cHpaWlomOpvdjYWMhkMoSEhIiOIhksL2NQeHg4TE1NRcdQSyUlJVAoFEhMTMT169exZ88efPzxx9i2bZvoaJJ38uRJhIWFITIyEoWFhZg9ezaWLl2K+/fvi46mNi5evIjg4GBcuXIF2dnZ6OrqwpIlS9DW1iY6mtoqKChAYmIi7OzsREeRFN4qPcacO3cOYWFh+Mtf/oKZM2fi2rVrsLe3Fx1LrcXFxeHAgQMoLy8XHUXSnJ2dMW/ePOzbtw9A3zpm5ubm2LRpEyIiIgSnU091dXUwMjLCxYsXsXDhQtFx1E5rayvmzp2L/fv3Izo6Gvb29ti7d6/oWJLAMy9jSG1tLYKCgnD06FHo6emJjjNmNDU14emnnxYdQ9I6Oztx9epVuLu7K7fJ5XK4u7sjLy9PYDL11tTUBAD886siwcHB+PWvf93vzzUNjtotzEiP19vbi4CAAKxbtw6Ojo64c+eO6EhjQllZGRISEhAfHy86iqTV19ejp6cHxsbG/bYbGxujpKREUCr1plAoEBISggULFsDW1lZ0HLWTlpaGwsJCFBQUiI4iSTzzInERERGQyWQDPkpKSpCQkICWlhZs3bpVdGRJGuxx/r7Kykp4eHhg+fLlCAoKEpSc6MkEBwejuLgYaWlpoqOonYqKCrz11ltITU2Frq6u6DiSxDEvEldXV4eGhoYB97GyssJvf/tbnDlzBjKZTLm9p6cHGhoaWLlyJVJSUlQdVdIGe5y1tbUBAFVVVXB1dcX8+fNx+PBhyOX8f8LP0dnZCT09PaSnp8PHx0e53d/fH99++y2ysrLEhVNDGzduRFZWFr788ktMnz5ddBy1k5mZid/85jfQ0NBQbuvp6YFMJoNcLkdHR0e/1+hRLC9jxH//+180Nzcrn1dVVWHp0qVIT0+Hs7MzzMzMBKZTL5WVlVi0aBEcHBxw7Ngx/iM0TJydneHk5ISEhAQAfZc1pk2bho0bN3LA7jDp7e3Fpk2bcPr0aeTm5uLZZ58VHUkttbS04O7du/22BQYGwsbGBlu2bOFlukHgmJcxYtq0af2eT5gwAQAwY8YMFpdhVFlZCVdXV1hYWCA+Ph51dXXK10xMTAQmk76wsDD4+/vD0dERTk5O2Lt3L9ra2hAYGCg6mtoIDg7G8ePHkZWVBX19fdTU1AAADAwMMG7cOMHp1Ie+vv4jBWX8+PEwNDRkcRkklheiYZSdnY2ysjKUlZU9Ugp5kvPnefXVV1FXV4cdO3agpqYG9vb2+Oyzzx4ZxEtP7sCBAwAAV1fXftuTk5MREBAw8oGIfgQvGxEREZGkcBQhERERSQrLCxEREUkKywsRERFJCssLERERSQrLCxEREUkKywsRERFJCssLERERSQrLCxEREUkKywsRERFJCssLERERSQrLCxEREUkKywsRERFJyv8BA5LP/rAnhlUAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import svm\n",
    "\n",
    "# 生成随机数据\n",
    "np.random.seed(0)\n",
    "X = np.r_[np.random.randn(20, 2) - [2, 2], np.random.randn(20, 2) + [2, 2]]\n",
    "y = [0] * 20 + [1] * 20\n",
    "\n",
    "# 创建SVM分类器\n",
    "clf = svm.SVC(kernel='linear', C = 1.0)\n",
    "clf.fit(X, y)\n",
    "\n",
    "# 绘制决策边界\n",
    "w = clf.coef_[0]\n",
    "a = -w[0]/w[1]\n",
    "xx = np.linspace(-5, 5)\n",
    "yy = a*xx-(clf.intercept_[0])/w[1]\n",
    "# 绘制散点图和决策边界\n",
    "plt.scatter(X[:, 0], X[:, 1], c = y, cmap = plt.cm.Paired)\n",
    "plt.plot(xx, yy, 'k-')\n",
    "# 绘制支持向量\n",
    "support_vectors = clf.support_vectors_\n",
    "plt.scatter(X[:, 0], X[:, 1], c = y, cmap = plt.cm.Paired, label='Samples')\n",
    "\n",
    "plt.plot(xx, yy, 'k-', label='Decision Boudary')\n",
    "\n",
    "# 绘制过支持向量且平行于决策边界的虚线并设置为深灰色\n",
    "for sv in support_vectors:\n",
    "    b = sv[1] - a*sv[0]\n",
    "    yy_parallel = a*xx + b\n",
    "    plt.plot(xx, yy_parallel, 'black', linestyle='--', alpha=0.4, label='Margin Boundary' if 'Margin Boundary' not in plt.gca().get_legend_handles_labels()[1] else \"\")\n",
    "plt.axis('tight')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "xai",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
